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Finding the Third Proportional to 26,766.38 and 57,643.50

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Solution

The third proportional to 26,766.38 and 57,643.50 is: 124,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,766.38 : 57,643.50 = 57,643.50 : x
  2. Step 2: Convert to fraction form
    26,766.38/57,643.50 = 57,643.50/x
  3. Step 3: Cross multiply
    26,766.38x = 57,643.50 × 57,643.50
  4. Step 4: Simplify right side
    26,766.38x = 3,322,773,092.25
  5. Step 5: Solve for x
    x = 3,322,773,092.25/26,766.38
  6. Step 6: Final answer
    x = 124,139.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.