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Finding the Third Proportional to 5,747.52 and 8,788.18

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Solution

The third proportional to 5,747.52 and 8,788.18 is: 13,437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.52 : 8,788.18 = 8,788.18 : x
  2. Step 2: Convert to fraction form
    5,747.52/8,788.18 = 8,788.18/x
  3. Step 3: Cross multiply
    5,747.52x = 8,788.18 × 8,788.18
  4. Step 4: Simplify right side
    5,747.52x = 77,232,170.88
  5. Step 5: Solve for x
    x = 77,232,170.88/5,747.52
  6. Step 6: Final answer
    x = 13,437.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.