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Finding the Third Proportional to 15,748 and 34,569

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Solution

The third proportional to 15,748 and 34,569 is: 75,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,748 : 34,569 = 34,569 : x
  2. Step 2: Convert to fraction form
    15,748/34,569 = 34,569/x
  3. Step 3: Cross multiply
    15,748x = 34,569 × 34,569
  4. Step 4: Simplify right side
    15,748x = 1,195,015,761
  5. Step 5: Solve for x
    x = 1,195,015,761/15,748
  6. Step 6: Final answer
    x = 75,883.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.