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Finding the Third Proportional to 40,470 and 61,268.50

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Solution

The third proportional to 40,470 and 61,268.50 is: 92,755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,470 : 61,268.50 = 61,268.50 : x
  2. Step 2: Convert to fraction form
    40,470/61,268.50 = 61,268.50/x
  3. Step 3: Cross multiply
    40,470x = 61,268.50 × 61,268.50
  4. Step 4: Simplify right side
    40,470x = 3,753,829,092.25
  5. Step 5: Solve for x
    x = 3,753,829,092.25/40,470
  6. Step 6: Final answer
    x = 92,755.85

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