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Finding the Third Proportional to 7,074 and 7,650

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Solution

The third proportional to 7,074 and 7,650 is: 8,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074 : 7,650 = 7,650 : x
  2. Step 2: Convert to fraction form
    7,074/7,650 = 7,650/x
  3. Step 3: Cross multiply
    7,074x = 7,650 × 7,650
  4. Step 4: Simplify right side
    7,074x = 58,522,500
  5. Step 5: Solve for x
    x = 58,522,500/7,074
  6. Step 6: Final answer
    x = 8,272.90

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.