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Finding the Third Proportional to 48,481 and 75,025.50

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Solution

The third proportional to 48,481 and 75,025.50 is: 116,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,481 : 75,025.50 = 75,025.50 : x
  2. Step 2: Convert to fraction form
    48,481/75,025.50 = 75,025.50/x
  3. Step 3: Cross multiply
    48,481x = 75,025.50 × 75,025.50
  4. Step 4: Simplify right side
    48,481x = 5,628,825,650.25
  5. Step 5: Solve for x
    x = 5,628,825,650.25/48,481
  6. Step 6: Final answer
    x = 116,103.74

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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.