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Finding the Third Proportional to 27,018.56 and 59,299.59

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Solution

The third proportional to 27,018.56 and 59,299.59 is: 130,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,018.56 : 59,299.59 = 59,299.59 : x
  2. Step 2: Convert to fraction form
    27,018.56/59,299.59 = 59,299.59/x
  3. Step 3: Cross multiply
    27,018.56x = 59,299.59 × 59,299.59
  4. Step 4: Simplify right side
    27,018.56x = 3,516,441,818.92
  5. Step 5: Solve for x
    x = 3,516,441,818.92/27,018.56
  6. Step 6: Final answer
    x = 130,149.11

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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.