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Finding the Third Proportional to 15,708 and 22,330

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Solution

The third proportional to 15,708 and 22,330 is: 31,743.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708 : 22,330 = 22,330 : x
  2. Step 2: Convert to fraction form
    15,708/22,330 = 22,330/x
  3. Step 3: Cross multiply
    15,708x = 22,330 × 22,330
  4. Step 4: Simplify right side
    15,708x = 498,628,900
  5. Step 5: Solve for x
    x = 498,628,900/15,708
  6. Step 6: Final answer
    x = 31,743.63

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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.