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Finding the Third Proportional to 2,538 and 5,145.75

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Solution

The third proportional to 2,538 and 5,145.75 is: 10,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538 : 5,145.75 = 5,145.75 : x
  2. Step 2: Convert to fraction form
    2,538/5,145.75 = 5,145.75/x
  3. Step 3: Cross multiply
    2,538x = 5,145.75 × 5,145.75
  4. Step 4: Simplify right side
    2,538x = 26,478,743.06
  5. Step 5: Solve for x
    x = 26,478,743.06/2,538
  6. Step 6: Final answer
    x = 10,432.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.