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Finding the Third Proportional to 6,062.25 and 13,251.75

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Solution

The third proportional to 6,062.25 and 13,251.75 is: 28,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,062.25 : 13,251.75 = 13,251.75 : x
  2. Step 2: Convert to fraction form
    6,062.25/13,251.75 = 13,251.75/x
  3. Step 3: Cross multiply
    6,062.25x = 13,251.75 × 13,251.75
  4. Step 4: Simplify right side
    6,062.25x = 175,608,878.06
  5. Step 5: Solve for x
    x = 175,608,878.06/6,062.25
  6. Step 6: Final answer
    x = 28,967.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.