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Finding the Third Proportional to 5,189.06 and 8,877.09

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Solution

The third proportional to 5,189.06 and 8,877.09 is: 15,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.06 : 8,877.09 = 8,877.09 : x
  2. Step 2: Convert to fraction form
    5,189.06/8,877.09 = 8,877.09/x
  3. Step 3: Cross multiply
    5,189.06x = 8,877.09 × 8,877.09
  4. Step 4: Simplify right side
    5,189.06x = 78,802,793.45
  5. Step 5: Solve for x
    x = 78,802,793.45/5,189.06
  6. Step 6: Final answer
    x = 15,186.33

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.