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Finding the Third Proportional to 6,436.13 and 8,658.56

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Solution

The third proportional to 6,436.13 and 8,658.56 is: 11,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.13 : 8,658.56 = 8,658.56 : x
  2. Step 2: Convert to fraction form
    6,436.13/8,658.56 = 8,658.56/x
  3. Step 3: Cross multiply
    6,436.13x = 8,658.56 × 8,658.56
  4. Step 4: Simplify right side
    6,436.13x = 74,970,704.57
  5. Step 5: Solve for x
    x = 74,970,704.57/6,436.13
  6. Step 6: Final answer
    x = 11,648.42

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.