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Finding the Third Proportional to 2,677.78 and 6,255.42

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Solution

The third proportional to 2,677.78 and 6,255.42 is: 14,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.78 : 6,255.42 = 6,255.42 : x
  2. Step 2: Convert to fraction form
    2,677.78/6,255.42 = 6,255.42/x
  3. Step 3: Cross multiply
    2,677.78x = 6,255.42 × 6,255.42
  4. Step 4: Simplify right side
    2,677.78x = 39,130,302.83
  5. Step 5: Solve for x
    x = 39,130,302.83/2,677.78
  6. Step 6: Final answer
    x = 14,612.96

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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.