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Finding the Third Proportional to 15,924 and 34,722

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Solution

The third proportional to 15,924 and 34,722 is: 75,710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924 : 34,722 = 34,722 : x
  2. Step 2: Convert to fraction form
    15,924/34,722 = 34,722/x
  3. Step 3: Cross multiply
    15,924x = 34,722 × 34,722
  4. Step 4: Simplify right side
    15,924x = 1,205,617,284
  5. Step 5: Solve for x
    x = 1,205,617,284/15,924
  6. Step 6: Final answer
    x = 75,710.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.