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Finding the Third Proportional to 48,488.25 and 74,865.38

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Solution

The third proportional to 48,488.25 and 74,865.38 is: 115,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,488.25 : 74,865.38 = 74,865.38 : x
  2. Step 2: Convert to fraction form
    48,488.25/74,865.38 = 74,865.38/x
  3. Step 3: Cross multiply
    48,488.25x = 74,865.38 × 74,865.38
  4. Step 4: Simplify right side
    48,488.25x = 5,604,824,373.89
  5. Step 5: Solve for x
    x = 5,604,824,373.89/48,488.25
  6. Step 6: Final answer
    x = 115,591.39

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