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Finding the Third Proportional to 48,286.13 and 74,765.53

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Solution

The third proportional to 48,286.13 and 74,765.53 is: 115,765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,286.13 : 74,765.53 = 74,765.53 : x
  2. Step 2: Convert to fraction form
    48,286.13/74,765.53 = 74,765.53/x
  3. Step 3: Cross multiply
    48,286.13x = 74,765.53 × 74,765.53
  4. Step 4: Simplify right side
    48,286.13x = 5,589,884,663.09
  5. Step 5: Solve for x
    x = 5,589,884,663.09/48,286.13
  6. Step 6: Final answer
    x = 115,765.86

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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.