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Finding the Third Proportional to 26,444.25 and 29,211.75

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Solution

The third proportional to 26,444.25 and 29,211.75 is: 32,268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,444.25 : 29,211.75 = 29,211.75 : x
  2. Step 2: Convert to fraction form
    26,444.25/29,211.75 = 29,211.75/x
  3. Step 3: Cross multiply
    26,444.25x = 29,211.75 × 29,211.75
  4. Step 4: Simplify right side
    26,444.25x = 853,326,338.06
  5. Step 5: Solve for x
    x = 853,326,338.06/26,444.25
  6. Step 6: Final answer
    x = 32,268.88

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.