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Finding the Third Proportional to 10,524 and 22,017

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Solution

The third proportional to 10,524 and 22,017 is: 46,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524 : 22,017 = 22,017 : x
  2. Step 2: Convert to fraction form
    10,524/22,017 = 22,017/x
  3. Step 3: Cross multiply
    10,524x = 22,017 × 22,017
  4. Step 4: Simplify right side
    10,524x = 484,748,289
  5. Step 5: Solve for x
    x = 484,748,289/10,524
  6. Step 6: Final answer
    x = 46,061.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.