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Finding the Third Proportional to 10,489 and 15,972

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Solution

The third proportional to 10,489 and 15,972 is: 24,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489 : 15,972 = 15,972 : x
  2. Step 2: Convert to fraction form
    10,489/15,972 = 15,972/x
  3. Step 3: Cross multiply
    10,489x = 15,972 × 15,972
  4. Step 4: Simplify right side
    10,489x = 255,104,784
  5. Step 5: Solve for x
    x = 255,104,784/10,489
  6. Step 6: Final answer
    x = 24,321.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.