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Finding the Third Proportional to 2,849.34 and 6,656.34

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Solution

The third proportional to 2,849.34 and 6,656.34 is: 15,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.34 : 6,656.34 = 6,656.34 : x
  2. Step 2: Convert to fraction form
    2,849.34/6,656.34 = 6,656.34/x
  3. Step 3: Cross multiply
    2,849.34x = 6,656.34 × 6,656.34
  4. Step 4: Simplify right side
    2,849.34x = 44,306,912.12
  5. Step 5: Solve for x
    x = 44,306,912.12/2,849.34
  6. Step 6: Final answer
    x = 15,549.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.