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Finding the Third Proportional to 10,524 and 22,920

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Solution

The third proportional to 10,524 and 22,920 is: 49,916.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524 : 22,920 = 22,920 : x
  2. Step 2: Convert to fraction form
    10,524/22,920 = 22,920/x
  3. Step 3: Cross multiply
    10,524x = 22,920 × 22,920
  4. Step 4: Simplify right side
    10,524x = 525,326,400
  5. Step 5: Solve for x
    x = 525,326,400/10,524
  6. Step 6: Final answer
    x = 49,916.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.