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Finding the Third Proportional to 26,257.50 and 41,760.56

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Solution

The third proportional to 26,257.50 and 41,760.56 is: 66,417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,257.50 : 41,760.56 = 41,760.56 : x
  2. Step 2: Convert to fraction form
    26,257.50/41,760.56 = 41,760.56/x
  3. Step 3: Cross multiply
    26,257.50x = 41,760.56 × 41,760.56
  4. Step 4: Simplify right side
    26,257.50x = 1,743,944,580.32
  5. Step 5: Solve for x
    x = 1,743,944,580.32/26,257.50
  6. Step 6: Final answer
    x = 66,417.01

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.