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Finding the Third Proportional to 27,286.72 and 59,645.58

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Solution

The third proportional to 27,286.72 and 59,645.58 is: 130,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,286.72 : 59,645.58 = 59,645.58 : x
  2. Step 2: Convert to fraction form
    27,286.72/59,645.58 = 59,645.58/x
  3. Step 3: Cross multiply
    27,286.72x = 59,645.58 × 59,645.58
  4. Step 4: Simplify right side
    27,286.72x = 3,557,595,688.84
  5. Step 5: Solve for x
    x = 3,557,595,688.84/27,286.72
  6. Step 6: Final answer
    x = 130,378.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.