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Finding the Third Proportional to 48,957.75 and 74,459.25

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Solution

The third proportional to 48,957.75 and 74,459.25 is: 113,244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,957.75 : 74,459.25 = 74,459.25 : x
  2. Step 2: Convert to fraction form
    48,957.75/74,459.25 = 74,459.25/x
  3. Step 3: Cross multiply
    48,957.75x = 74,459.25 × 74,459.25
  4. Step 4: Simplify right side
    48,957.75x = 5,544,179,910.56
  5. Step 5: Solve for x
    x = 5,544,179,910.56/48,957.75
  6. Step 6: Final answer
    x = 113,244.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.