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Finding the Third Proportional to 5,750.58 and 8,712.14

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Solution

The third proportional to 5,750.58 and 8,712.14 is: 13,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,750.58 : 8,712.14 = 8,712.14 : x
  2. Step 2: Convert to fraction form
    5,750.58/8,712.14 = 8,712.14/x
  3. Step 3: Cross multiply
    5,750.58x = 8,712.14 × 8,712.14
  4. Step 4: Simplify right side
    5,750.58x = 75,901,394.27
  5. Step 5: Solve for x
    x = 75,901,394.27/5,750.58
  6. Step 6: Final answer
    x = 13,198.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.