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Finding the Third Proportional to 63,524 and 83,532

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Solution

The third proportional to 63,524 and 83,532 is: 109,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,524 : 83,532 = 83,532 : x
  2. Step 2: Convert to fraction form
    63,524/83,532 = 83,532/x
  3. Step 3: Cross multiply
    63,524x = 83,532 × 83,532
  4. Step 4: Simplify right side
    63,524x = 6,977,595,024
  5. Step 5: Solve for x
    x = 6,977,595,024/63,524
  6. Step 6: Final answer
    x = 109,841.87

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.