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Finding the Third Proportional to 6,862.69 and 15,061.69

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Solution

The third proportional to 6,862.69 and 15,061.69 is: 33,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.69 : 15,061.69 = 15,061.69 : x
  2. Step 2: Convert to fraction form
    6,862.69/15,061.69 = 15,061.69/x
  3. Step 3: Cross multiply
    6,862.69x = 15,061.69 × 15,061.69
  4. Step 4: Simplify right side
    6,862.69x = 226,854,430.35
  5. Step 5: Solve for x
    x = 226,854,430.35/6,862.69
  6. Step 6: Final answer
    x = 33,056.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.