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Finding the Third Proportional to 40,680 and 61,128

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Solution

The third proportional to 40,680 and 61,128 is: 91,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,680 : 61,128 = 61,128 : x
  2. Step 2: Convert to fraction form
    40,680/61,128 = 61,128/x
  3. Step 3: Cross multiply
    40,680x = 61,128 × 61,128
  4. Step 4: Simplify right side
    40,680x = 3,736,632,384
  5. Step 5: Solve for x
    x = 3,736,632,384/40,680
  6. Step 6: Final answer
    x = 91,854.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.