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Finding the Third Proportional to 14,524 and 22,353

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Solution

The third proportional to 14,524 and 22,353 is: 34,402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,524 : 22,353 = 22,353 : x
  2. Step 2: Convert to fraction form
    14,524/22,353 = 22,353/x
  3. Step 3: Cross multiply
    14,524x = 22,353 × 22,353
  4. Step 4: Simplify right side
    14,524x = 499,656,609
  5. Step 5: Solve for x
    x = 499,656,609/14,524
  6. Step 6: Final answer
    x = 34,402.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.