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Finding the Third Proportional to 4,902 and 5,734

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Solution

The third proportional to 4,902 and 5,734 is: 6,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902 : 5,734 = 5,734 : x
  2. Step 2: Convert to fraction form
    4,902/5,734 = 5,734/x
  3. Step 3: Cross multiply
    4,902x = 5,734 × 5,734
  4. Step 4: Simplify right side
    4,902x = 32,878,756
  5. Step 5: Solve for x
    x = 32,878,756/4,902
  6. Step 6: Final answer
    x = 6,707.21

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.