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Finding the Third Proportional to 5,034.38 and 10,878.75

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Solution

The third proportional to 5,034.38 and 10,878.75 is: 23,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.38 : 10,878.75 = 10,878.75 : x
  2. Step 2: Convert to fraction form
    5,034.38/10,878.75 = 10,878.75/x
  3. Step 3: Cross multiply
    5,034.38x = 10,878.75 × 10,878.75
  4. Step 4: Simplify right side
    5,034.38x = 118,347,201.56
  5. Step 5: Solve for x
    x = 118,347,201.56/5,034.38
  6. Step 6: Final answer
    x = 23,507.82

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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.