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Finding the Third Proportional to 48,762 and 65,367

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Solution

The third proportional to 48,762 and 65,367 is: 87,626.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,762 : 65,367 = 65,367 : x
  2. Step 2: Convert to fraction form
    48,762/65,367 = 65,367/x
  3. Step 3: Cross multiply
    48,762x = 65,367 × 65,367
  4. Step 4: Simplify right side
    48,762x = 4,272,844,689
  5. Step 5: Solve for x
    x = 4,272,844,689/48,762
  6. Step 6: Final answer
    x = 87,626.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.