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Finding the Third Proportional to 29,707 and 61,863.50

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Solution

The third proportional to 29,707 and 61,863.50 is: 128,827.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,707 : 61,863.50 = 61,863.50 : x
  2. Step 2: Convert to fraction form
    29,707/61,863.50 = 61,863.50/x
  3. Step 3: Cross multiply
    29,707x = 61,863.50 × 61,863.50
  4. Step 4: Simplify right side
    29,707x = 3,827,092,632.25
  5. Step 5: Solve for x
    x = 3,827,092,632.25/29,707
  6. Step 6: Final answer
    x = 128,827.97

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.