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Finding the Third Proportional to 5,074 and 5,830

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Solution

The third proportional to 5,074 and 5,830 is: 6,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074 : 5,830 = 5,830 : x
  2. Step 2: Convert to fraction form
    5,074/5,830 = 5,830/x
  3. Step 3: Cross multiply
    5,074x = 5,830 × 5,830
  4. Step 4: Simplify right side
    5,074x = 33,988,900
  5. Step 5: Solve for x
    x = 33,988,900/5,074
  6. Step 6: Final answer
    x = 6,698.64

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.