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Finding the Third Proportional to 15,924 and 34,617

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Solution

The third proportional to 15,924 and 34,617 is: 75,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924 : 34,617 = 34,617 : x
  2. Step 2: Convert to fraction form
    15,924/34,617 = 34,617/x
  3. Step 3: Cross multiply
    15,924x = 34,617 × 34,617
  4. Step 4: Simplify right side
    15,924x = 1,198,336,689
  5. Step 5: Solve for x
    x = 1,198,336,689/15,924
  6. Step 6: Final answer
    x = 75,253.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.