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Finding the Third Proportional to 29,683.97 and 61,816.92

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Solution

The third proportional to 29,683.97 and 61,816.92 is: 128,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,683.97 : 61,816.92 = 61,816.92 : x
  2. Step 2: Convert to fraction form
    29,683.97/61,816.92 = 61,816.92/x
  3. Step 3: Cross multiply
    29,683.97x = 61,816.92 × 61,816.92
  4. Step 4: Simplify right side
    29,683.97x = 3,821,331,830.10
  5. Step 5: Solve for x
    x = 3,821,331,830.10/29,683.97
  6. Step 6: Final answer
    x = 128,733.86

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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.