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Finding the Third Proportional to 6,429.75 and 8,685.75

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Solution

The third proportional to 6,429.75 and 8,685.75 is: 11,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.75 : 8,685.75 = 8,685.75 : x
  2. Step 2: Convert to fraction form
    6,429.75/8,685.75 = 8,685.75/x
  3. Step 3: Cross multiply
    6,429.75x = 8,685.75 × 8,685.75
  4. Step 4: Simplify right side
    6,429.75x = 75,442,253.06
  5. Step 5: Solve for x
    x = 75,442,253.06/6,429.75
  6. Step 6: Final answer
    x = 11,733.31

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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.