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Finding the Third Proportional to 48,793.13 and 75,405.75

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Solution

The third proportional to 48,793.13 and 75,405.75 is: 116,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,793.13 : 75,405.75 = 75,405.75 : x
  2. Step 2: Convert to fraction form
    48,793.13/75,405.75 = 75,405.75/x
  3. Step 3: Cross multiply
    48,793.13x = 75,405.75 × 75,405.75
  4. Step 4: Simplify right side
    48,793.13x = 5,686,027,133.06
  5. Step 5: Solve for x
    x = 5,686,027,133.06/48,793.13
  6. Step 6: Final answer
    x = 116,533.37

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