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Finding the Third Proportional to 4,203.14 and 8,877.09

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Solution

The third proportional to 4,203.14 and 8,877.09 is: 18,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.14 : 8,877.09 = 8,877.09 : x
  2. Step 2: Convert to fraction form
    4,203.14/8,877.09 = 8,877.09/x
  3. Step 3: Cross multiply
    4,203.14x = 8,877.09 × 8,877.09
  4. Step 4: Simplify right side
    4,203.14x = 78,802,793.45
  5. Step 5: Solve for x
    x = 78,802,793.45/4,203.14
  6. Step 6: Final answer
    x = 18,748.55

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.