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Finding the Third Proportional to 5,731 and 9,059

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Solution

The third proportional to 5,731 and 9,059 is: 14,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731 : 9,059 = 9,059 : x
  2. Step 2: Convert to fraction form
    5,731/9,059 = 9,059/x
  3. Step 3: Cross multiply
    5,731x = 9,059 × 9,059
  4. Step 4: Simplify right side
    5,731x = 82,065,481
  5. Step 5: Solve for x
    x = 82,065,481/5,731
  6. Step 6: Final answer
    x = 14,319.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.