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Finding the Third Proportional to 23,297.63 and 36,142.88

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Solution

The third proportional to 23,297.63 and 36,142.88 is: 56,070.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,297.63 : 36,142.88 = 36,142.88 : x
  2. Step 2: Convert to fraction form
    23,297.63/36,142.88 = 36,142.88/x
  3. Step 3: Cross multiply
    23,297.63x = 36,142.88 × 36,142.88
  4. Step 4: Simplify right side
    23,297.63x = 1,306,307,413.27
  5. Step 5: Solve for x
    x = 1,306,307,413.27/23,297.63
  6. Step 6: Final answer
    x = 56,070.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.