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Finding the Third Proportional to 26,314.88 and 34,140.38

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Solution

The third proportional to 26,314.88 and 34,140.38 is: 44,293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,314.88 : 34,140.38 = 34,140.38 : x
  2. Step 2: Convert to fraction form
    26,314.88/34,140.38 = 34,140.38/x
  3. Step 3: Cross multiply
    26,314.88x = 34,140.38 × 34,140.38
  4. Step 4: Simplify right side
    26,314.88x = 1,165,565,205.14
  5. Step 5: Solve for x
    x = 1,165,565,205.14/26,314.88
  6. Step 6: Final answer
    x = 44,293.02

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.