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Finding the Third Proportional to 7,874 and 9,521

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Solution

The third proportional to 7,874 and 9,521 is: 11,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874 : 9,521 = 9,521 : x
  2. Step 2: Convert to fraction form
    7,874/9,521 = 9,521/x
  3. Step 3: Cross multiply
    7,874x = 9,521 × 9,521
  4. Step 4: Simplify right side
    7,874x = 90,649,441
  5. Step 5: Solve for x
    x = 90,649,441/7,874
  6. Step 6: Final answer
    x = 11,512.50

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.