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Finding the Third Proportional to 23,577 and 36,460.50

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Solution

The third proportional to 23,577 and 36,460.50 is: 56,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,577 : 36,460.50 = 36,460.50 : x
  2. Step 2: Convert to fraction form
    23,577/36,460.50 = 36,460.50/x
  3. Step 3: Cross multiply
    23,577x = 36,460.50 × 36,460.50
  4. Step 4: Simplify right side
    23,577x = 1,329,368,060.25
  5. Step 5: Solve for x
    x = 1,329,368,060.25/23,577
  6. Step 6: Final answer
    x = 56,384.11

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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.