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Finding the Third Proportional to 48,241.75 and 74,549.50

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Solution

The third proportional to 48,241.75 and 74,549.50 is: 115,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,241.75 : 74,549.50 = 74,549.50 : x
  2. Step 2: Convert to fraction form
    48,241.75/74,549.50 = 74,549.50/x
  3. Step 3: Cross multiply
    48,241.75x = 74,549.50 × 74,549.50
  4. Step 4: Simplify right side
    48,241.75x = 5,557,627,950.25
  5. Step 5: Solve for x
    x = 5,557,627,950.25/48,241.75
  6. Step 6: Final answer
    x = 115,203.70

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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.