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Finding the Third Proportional to 6,502.78 and 8,877.09

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Solution

The third proportional to 6,502.78 and 8,877.09 is: 12,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.78 : 8,877.09 = 8,877.09 : x
  2. Step 2: Convert to fraction form
    6,502.78/8,877.09 = 8,877.09/x
  3. Step 3: Cross multiply
    6,502.78x = 8,877.09 × 8,877.09
  4. Step 4: Simplify right side
    6,502.78x = 78,802,793.45
  5. Step 5: Solve for x
    x = 78,802,793.45/6,502.78
  6. Step 6: Final answer
    x = 12,118.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.