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Finding the Third Proportional to 48,438 and 65,745

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Solution

The third proportional to 48,438 and 65,745 is: 89,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,438 : 65,745 = 65,745 : x
  2. Step 2: Convert to fraction form
    48,438/65,745 = 65,745/x
  3. Step 3: Cross multiply
    48,438x = 65,745 × 65,745
  4. Step 4: Simplify right side
    48,438x = 4,322,405,025
  5. Step 5: Solve for x
    x = 4,322,405,025/48,438
  6. Step 6: Final answer
    x = 89,235.83

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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.