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Finding the Third Proportional to 26,922.38 and 58,947.75

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Solution

The third proportional to 26,922.38 and 58,947.75 is: 129,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,922.38 : 58,947.75 = 58,947.75 : x
  2. Step 2: Convert to fraction form
    26,922.38/58,947.75 = 58,947.75/x
  3. Step 3: Cross multiply
    26,922.38x = 58,947.75 × 58,947.75
  4. Step 4: Simplify right side
    26,922.38x = 3,474,837,230.06
  5. Step 5: Solve for x
    x = 3,474,837,230.06/26,922.38
  6. Step 6: Final answer
    x = 129,068.75

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Why These Related Problems?

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