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Finding the Third Proportional to 5,877.56 and 8,239.22

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Solution

The third proportional to 5,877.56 and 8,239.22 is: 11,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.56 : 8,239.22 = 8,239.22 : x
  2. Step 2: Convert to fraction form
    5,877.56/8,239.22 = 8,239.22/x
  3. Step 3: Cross multiply
    5,877.56x = 8,239.22 × 8,239.22
  4. Step 4: Simplify right side
    5,877.56x = 67,884,725.61
  5. Step 5: Solve for x
    x = 67,884,725.61/5,877.56
  6. Step 6: Final answer
    x = 11,549.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.