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Finding the Third Proportional to 11,042 and 24,382

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Solution

The third proportional to 11,042 and 24,382 is: 53,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042 : 24,382 = 24,382 : x
  2. Step 2: Convert to fraction form
    11,042/24,382 = 24,382/x
  3. Step 3: Cross multiply
    11,042x = 24,382 × 24,382
  4. Step 4: Simplify right side
    11,042x = 594,481,924
  5. Step 5: Solve for x
    x = 594,481,924/11,042
  6. Step 6: Final answer
    x = 53,838.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.