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Finding the Third Proportional to 48,434 and 65,739

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Solution

The third proportional to 48,434 and 65,739 is: 89,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,434 : 65,739 = 65,739 : x
  2. Step 2: Convert to fraction form
    48,434/65,739 = 65,739/x
  3. Step 3: Cross multiply
    48,434x = 65,739 × 65,739
  4. Step 4: Simplify right side
    48,434x = 4,321,616,121
  5. Step 5: Solve for x
    x = 4,321,616,121/48,434
  6. Step 6: Final answer
    x = 89,226.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.