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Finding the Third Proportional to 15,704 and 22,324

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Solution

The third proportional to 15,704 and 22,324 is: 31,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704 : 22,324 = 22,324 : x
  2. Step 2: Convert to fraction form
    15,704/22,324 = 22,324/x
  3. Step 3: Cross multiply
    15,704x = 22,324 × 22,324
  4. Step 4: Simplify right side
    15,704x = 498,360,976
  5. Step 5: Solve for x
    x = 498,360,976/15,704
  6. Step 6: Final answer
    x = 31,734.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.