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Finding the Third Proportional to 13,501.69 and 22,614.19

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Solution

The third proportional to 13,501.69 and 22,614.19 is: 37,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501.69 : 22,614.19 = 22,614.19 : x
  2. Step 2: Convert to fraction form
    13,501.69/22,614.19 = 22,614.19/x
  3. Step 3: Cross multiply
    13,501.69x = 22,614.19 × 22,614.19
  4. Step 4: Simplify right side
    13,501.69x = 511,401,476.29
  5. Step 5: Solve for x
    x = 511,401,476.29/13,501.69
  6. Step 6: Final answer
    x = 37,876.86

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.