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Finding the Third Proportional to 4,286.67 and 6,505.95

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Solution

The third proportional to 4,286.67 and 6,505.95 is: 9,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.67 : 6,505.95 = 6,505.95 : x
  2. Step 2: Convert to fraction form
    4,286.67/6,505.95 = 6,505.95/x
  3. Step 3: Cross multiply
    4,286.67x = 6,505.95 × 6,505.95
  4. Step 4: Simplify right side
    4,286.67x = 42,327,324.41
  5. Step 5: Solve for x
    x = 42,327,324.41/4,286.67
  6. Step 6: Final answer
    x = 9,874.17

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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.