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Finding the Third Proportional to 5,401.69 and 7,064.72

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Solution

The third proportional to 5,401.69 and 7,064.72 is: 9,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401.69 : 7,064.72 = 7,064.72 : x
  2. Step 2: Convert to fraction form
    5,401.69/7,064.72 = 7,064.72/x
  3. Step 3: Cross multiply
    5,401.69x = 7,064.72 × 7,064.72
  4. Step 4: Simplify right side
    5,401.69x = 49,910,251.02
  5. Step 5: Solve for x
    x = 49,910,251.02/5,401.69
  6. Step 6: Final answer
    x = 9,239.75

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.