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Finding the Third Proportional to 48,793.88 and 75,406.88

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Solution

The third proportional to 48,793.88 and 75,406.88 is: 116,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,793.88 : 75,406.88 = 75,406.88 : x
  2. Step 2: Convert to fraction form
    48,793.88/75,406.88 = 75,406.88/x
  3. Step 3: Cross multiply
    48,793.88x = 75,406.88 × 75,406.88
  4. Step 4: Simplify right side
    48,793.88x = 5,686,196,797.27
  5. Step 5: Solve for x
    x = 5,686,196,797.27/48,793.88
  6. Step 6: Final answer
    x = 116,535.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.