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Finding the Third Proportional to 23,897.50 and 36,170.50

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Solution

The third proportional to 23,897.50 and 36,170.50 is: 54,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.50 : 36,170.50 = 36,170.50 : x
  2. Step 2: Convert to fraction form
    23,897.50/36,170.50 = 36,170.50/x
  3. Step 3: Cross multiply
    23,897.50x = 36,170.50 × 36,170.50
  4. Step 4: Simplify right side
    23,897.50x = 1,308,305,070.25
  5. Step 5: Solve for x
    x = 1,308,305,070.25/23,897.50
  6. Step 6: Final answer
    x = 54,746.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.