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Finding the Third Proportional to 26,952.75 and 57,302.44

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Solution

The third proportional to 26,952.75 and 57,302.44 is: 121,826.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,952.75 : 57,302.44 = 57,302.44 : x
  2. Step 2: Convert to fraction form
    26,952.75/57,302.44 = 57,302.44/x
  3. Step 3: Cross multiply
    26,952.75x = 57,302.44 × 57,302.44
  4. Step 4: Simplify right side
    26,952.75x = 3,283,569,343.44
  5. Step 5: Solve for x
    x = 3,283,569,343.44/26,952.75
  6. Step 6: Final answer
    x = 121,826.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.