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Finding the Third Proportional to 48,486 and 65,478

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Solution

The third proportional to 48,486 and 65,478 is: 88,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,486 : 65,478 = 65,478 : x
  2. Step 2: Convert to fraction form
    48,486/65,478 = 65,478/x
  3. Step 3: Cross multiply
    48,486x = 65,478 × 65,478
  4. Step 4: Simplify right side
    48,486x = 4,287,368,484
  5. Step 5: Solve for x
    x = 4,287,368,484/48,486
  6. Step 6: Final answer
    x = 88,424.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.