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Finding the Third Proportional to 5,742 and 6,334

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Solution

The third proportional to 5,742 and 6,334 is: 6,987.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742 : 6,334 = 6,334 : x
  2. Step 2: Convert to fraction form
    5,742/6,334 = 6,334/x
  3. Step 3: Cross multiply
    5,742x = 6,334 × 6,334
  4. Step 4: Simplify right side
    5,742x = 40,119,556
  5. Step 5: Solve for x
    x = 40,119,556/5,742
  6. Step 6: Final answer
    x = 6,987.04

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.