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Finding the Third Proportional to 31,380.75 and 48,073.13

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Solution

The third proportional to 31,380.75 and 48,073.13 is: 73,644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,380.75 : 48,073.13 = 48,073.13 : x
  2. Step 2: Convert to fraction form
    31,380.75/48,073.13 = 48,073.13/x
  3. Step 3: Cross multiply
    31,380.75x = 48,073.13 × 48,073.13
  4. Step 4: Simplify right side
    31,380.75x = 2,311,025,347.27
  5. Step 5: Solve for x
    x = 2,311,025,347.27/31,380.75
  6. Step 6: Final answer
    x = 73,644.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.