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Finding the Third Proportional to 27,585.56 and 59,744.25

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Solution

The third proportional to 27,585.56 and 59,744.25 is: 129,392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,585.56 : 59,744.25 = 59,744.25 : x
  2. Step 2: Convert to fraction form
    27,585.56/59,744.25 = 59,744.25/x
  3. Step 3: Cross multiply
    27,585.56x = 59,744.25 × 59,744.25
  4. Step 4: Simplify right side
    27,585.56x = 3,569,375,408.06
  5. Step 5: Solve for x
    x = 3,569,375,408.06/27,585.56
  6. Step 6: Final answer
    x = 129,392.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.