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Finding the Third Proportional to 48,446 and 65,102

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Solution

The third proportional to 48,446 and 65,102 is: 87,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,446 : 65,102 = 65,102 : x
  2. Step 2: Convert to fraction form
    48,446/65,102 = 65,102/x
  3. Step 3: Cross multiply
    48,446x = 65,102 × 65,102
  4. Step 4: Simplify right side
    48,446x = 4,238,270,404
  5. Step 5: Solve for x
    x = 4,238,270,404/48,446
  6. Step 6: Final answer
    x = 87,484.42

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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.