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Finding the Third Proportional to 40,524 and 63,247

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Solution

The third proportional to 40,524 and 63,247 is: 98,711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,524 : 63,247 = 63,247 : x
  2. Step 2: Convert to fraction form
    40,524/63,247 = 63,247/x
  3. Step 3: Cross multiply
    40,524x = 63,247 × 63,247
  4. Step 4: Simplify right side
    40,524x = 4,000,183,009
  5. Step 5: Solve for x
    x = 4,000,183,009/40,524
  6. Step 6: Final answer
    x = 98,711.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.