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Finding the Third Proportional to 17,724 and 38,382

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Solution

The third proportional to 17,724 and 38,382 is: 83,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724 : 38,382 = 38,382 : x
  2. Step 2: Convert to fraction form
    17,724/38,382 = 38,382/x
  3. Step 3: Cross multiply
    17,724x = 38,382 × 38,382
  4. Step 4: Simplify right side
    17,724x = 1,473,177,924
  5. Step 5: Solve for x
    x = 1,473,177,924/17,724
  6. Step 6: Final answer
    x = 83,117.69

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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.