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Finding the Third Proportional to 7,340 and 8,924

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Solution

The third proportional to 7,340 and 8,924 is: 10,849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340 : 8,924 = 8,924 : x
  2. Step 2: Convert to fraction form
    7,340/8,924 = 8,924/x
  3. Step 3: Cross multiply
    7,340x = 8,924 × 8,924
  4. Step 4: Simplify right side
    7,340x = 79,637,776
  5. Step 5: Solve for x
    x = 79,637,776/7,340
  6. Step 6: Final answer
    x = 10,849.83

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.