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Finding the Third Proportional to 48,930.75 and 75,340.13

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Solution

The third proportional to 48,930.75 and 75,340.13 is: 116,003.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,930.75 : 75,340.13 = 75,340.13 : x
  2. Step 2: Convert to fraction form
    48,930.75/75,340.13 = 75,340.13/x
  3. Step 3: Cross multiply
    48,930.75x = 75,340.13 × 75,340.13
  4. Step 4: Simplify right side
    48,930.75x = 5,676,134,435.02
  5. Step 5: Solve for x
    x = 5,676,134,435.02/48,930.75
  6. Step 6: Final answer
    x = 116,003.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.