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Finding the Third Proportional to 4,306.38 and 6,459.63

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Solution

The third proportional to 4,306.38 and 6,459.63 is: 9,689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.38 : 6,459.63 = 6,459.63 : x
  2. Step 2: Convert to fraction form
    4,306.38/6,459.63 = 6,459.63/x
  3. Step 3: Cross multiply
    4,306.38x = 6,459.63 × 6,459.63
  4. Step 4: Simplify right side
    4,306.38x = 41,726,755.14
  5. Step 5: Solve for x
    x = 41,726,755.14/4,306.38
  6. Step 6: Final answer
    x = 9,689.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.