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Finding the Third Proportional to 9,872 and 21,382

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Solution

The third proportional to 9,872 and 21,382 is: 46,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872 : 21,382 = 21,382 : x
  2. Step 2: Convert to fraction form
    9,872/21,382 = 21,382/x
  3. Step 3: Cross multiply
    9,872x = 21,382 × 21,382
  4. Step 4: Simplify right side
    9,872x = 457,189,924
  5. Step 5: Solve for x
    x = 457,189,924/9,872
  6. Step 6: Final answer
    x = 46,311.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.