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Finding the Third Proportional to 13,817.13 and 29,605.81

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Solution

The third proportional to 13,817.13 and 29,605.81 is: 63,436.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.13 : 29,605.81 = 29,605.81 : x
  2. Step 2: Convert to fraction form
    13,817.13/29,605.81 = 29,605.81/x
  3. Step 3: Cross multiply
    13,817.13x = 29,605.81 × 29,605.81
  4. Step 4: Simplify right side
    13,817.13x = 876,504,133.79
  5. Step 5: Solve for x
    x = 876,504,133.79/13,817.13
  6. Step 6: Final answer
    x = 63,436.07

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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.