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Finding the Third Proportional to 26,532.56 and 57,216.38

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Solution

The third proportional to 26,532.56 and 57,216.38 is: 123,384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,532.56 : 57,216.38 = 57,216.38 : x
  2. Step 2: Convert to fraction form
    26,532.56/57,216.38 = 57,216.38/x
  3. Step 3: Cross multiply
    26,532.56x = 57,216.38 × 57,216.38
  4. Step 4: Simplify right side
    26,532.56x = 3,273,713,568.14
  5. Step 5: Solve for x
    x = 3,273,713,568.14/26,532.56
  6. Step 6: Final answer
    x = 123,384.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.