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Finding the Third Proportional to 13,737.66 and 29,935.83

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Solution

The third proportional to 13,737.66 and 29,935.83 is: 65,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.66 : 29,935.83 = 29,935.83 : x
  2. Step 2: Convert to fraction form
    13,737.66/29,935.83 = 29,935.83/x
  3. Step 3: Cross multiply
    13,737.66x = 29,935.83 × 29,935.83
  4. Step 4: Simplify right side
    13,737.66x = 896,153,805.53
  5. Step 5: Solve for x
    x = 896,153,805.53/13,737.66
  6. Step 6: Final answer
    x = 65,233.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.