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Finding the Third Proportional to 6,394.78 and 13,677.61

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Solution

The third proportional to 6,394.78 and 13,677.61 is: 29,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.78 : 13,677.61 = 13,677.61 : x
  2. Step 2: Convert to fraction form
    6,394.78/13,677.61 = 13,677.61/x
  3. Step 3: Cross multiply
    6,394.78x = 13,677.61 × 13,677.61
  4. Step 4: Simplify right side
    6,394.78x = 187,076,998.22
  5. Step 5: Solve for x
    x = 187,076,998.22/6,394.78
  6. Step 6: Final answer
    x = 29,254.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.