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Finding the Third Proportional to 13,682.91 and 29,476.59

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Solution

The third proportional to 13,682.91 and 29,476.59 is: 63,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.91 : 29,476.59 = 29,476.59 : x
  2. Step 2: Convert to fraction form
    13,682.91/29,476.59 = 29,476.59/x
  3. Step 3: Cross multiply
    13,682.91x = 29,476.59 × 29,476.59
  4. Step 4: Simplify right side
    13,682.91x = 868,869,579.10
  5. Step 5: Solve for x
    x = 868,869,579.10/13,682.91
  6. Step 6: Final answer
    x = 63,500.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.