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Finding the Third Proportional to 48,386 and 62,595

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Solution

The third proportional to 48,386 and 62,595 is: 80,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,386 : 62,595 = 62,595 : x
  2. Step 2: Convert to fraction form
    48,386/62,595 = 62,595/x
  3. Step 3: Cross multiply
    48,386x = 62,595 × 62,595
  4. Step 4: Simplify right side
    48,386x = 3,918,134,025
  5. Step 5: Solve for x
    x = 3,918,134,025/48,386
  6. Step 6: Final answer
    x = 80,976.61

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.