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Finding the Third Proportional to 15,976 and 22,877

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Solution

The third proportional to 15,976 and 22,877 is: 32,758.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,976 : 22,877 = 22,877 : x
  2. Step 2: Convert to fraction form
    15,976/22,877 = 22,877/x
  3. Step 3: Cross multiply
    15,976x = 22,877 × 22,877
  4. Step 4: Simplify right side
    15,976x = 523,357,129
  5. Step 5: Solve for x
    x = 523,357,129/15,976
  6. Step 6: Final answer
    x = 32,758.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.