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Finding the Third Proportional to 48,425 and 72,635

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Solution

The third proportional to 48,425 and 72,635 is: 108,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,425 : 72,635 = 72,635 : x
  2. Step 2: Convert to fraction form
    48,425/72,635 = 72,635/x
  3. Step 3: Cross multiply
    48,425x = 72,635 × 72,635
  4. Step 4: Simplify right side
    48,425x = 5,275,843,225
  5. Step 5: Solve for x
    x = 5,275,843,225/48,425
  6. Step 6: Final answer
    x = 108,948.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.