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Finding the Third Proportional to 5,690 and 7,743

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Solution

The third proportional to 5,690 and 7,743 is: 10,536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690 : 7,743 = 7,743 : x
  2. Step 2: Convert to fraction form
    5,690/7,743 = 7,743/x
  3. Step 3: Cross multiply
    5,690x = 7,743 × 7,743
  4. Step 4: Simplify right side
    5,690x = 59,954,049
  5. Step 5: Solve for x
    x = 59,954,049/5,690
  6. Step 6: Final answer
    x = 10,536.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.