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Finding the Third Proportional to 48,998.25 and 66,021.75

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Solution

The third proportional to 48,998.25 and 66,021.75 is: 88,959.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,998.25 : 66,021.75 = 66,021.75 : x
  2. Step 2: Convert to fraction form
    48,998.25/66,021.75 = 66,021.75/x
  3. Step 3: Cross multiply
    48,998.25x = 66,021.75 × 66,021.75
  4. Step 4: Simplify right side
    48,998.25x = 4,358,871,473.06
  5. Step 5: Solve for x
    x = 4,358,871,473.06/48,998.25
  6. Step 6: Final answer
    x = 88,959.74

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.