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Finding the Third Proportional to 15,872 and 22,580

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Solution

The third proportional to 15,872 and 22,580 is: 32,123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872 : 22,580 = 22,580 : x
  2. Step 2: Convert to fraction form
    15,872/22,580 = 22,580/x
  3. Step 3: Cross multiply
    15,872x = 22,580 × 22,580
  4. Step 4: Simplify right side
    15,872x = 509,856,400
  5. Step 5: Solve for x
    x = 509,856,400/15,872
  6. Step 6: Final answer
    x = 32,123.01

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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.