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Finding the Third Proportional to 13,816.93 and 29,605.29

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Solution

The third proportional to 13,816.93 and 29,605.29 is: 63,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.93 : 29,605.29 = 29,605.29 : x
  2. Step 2: Convert to fraction form
    13,816.93/29,605.29 = 29,605.29/x
  3. Step 3: Cross multiply
    13,816.93x = 29,605.29 × 29,605.29
  4. Step 4: Simplify right side
    13,816.93x = 876,473,140.47
  5. Step 5: Solve for x
    x = 876,473,140.47/13,816.93
  6. Step 6: Final answer
    x = 63,434.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.