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Finding the Third Proportional to 48,915 and 57,771

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Solution

The third proportional to 48,915 and 57,771 is: 68,230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,915 : 57,771 = 57,771 : x
  2. Step 2: Convert to fraction form
    48,915/57,771 = 57,771/x
  3. Step 3: Cross multiply
    48,915x = 57,771 × 57,771
  4. Step 4: Simplify right side
    48,915x = 3,337,488,441
  5. Step 5: Solve for x
    x = 3,337,488,441/48,915
  6. Step 6: Final answer
    x = 68,230.37

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.