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Finding the Third Proportional to 15,614 and 22,570

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Solution

The third proportional to 15,614 and 22,570 is: 32,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614 : 22,570 = 22,570 : x
  2. Step 2: Convert to fraction form
    15,614/22,570 = 22,570/x
  3. Step 3: Cross multiply
    15,614x = 22,570 × 22,570
  4. Step 4: Simplify right side
    15,614x = 509,404,900
  5. Step 5: Solve for x
    x = 509,404,900/15,614
  6. Step 6: Final answer
    x = 32,624.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.