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Finding the Third Proportional to 6,876.56 and 9,144.56

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Solution

The third proportional to 6,876.56 and 9,144.56 is: 12,160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.56 : 9,144.56 = 9,144.56 : x
  2. Step 2: Convert to fraction form
    6,876.56/9,144.56 = 9,144.56/x
  3. Step 3: Cross multiply
    6,876.56x = 9,144.56 × 9,144.56
  4. Step 4: Simplify right side
    6,876.56x = 83,623,023.32
  5. Step 5: Solve for x
    x = 83,623,023.32/6,876.56
  6. Step 6: Final answer
    x = 12,160.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.