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Finding the Third Proportional to 7,092 and 7,884

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Solution

The third proportional to 7,092 and 7,884 is: 8,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092 : 7,884 = 7,884 : x
  2. Step 2: Convert to fraction form
    7,092/7,884 = 7,884/x
  3. Step 3: Cross multiply
    7,092x = 7,884 × 7,884
  4. Step 4: Simplify right side
    7,092x = 62,157,456
  5. Step 5: Solve for x
    x = 62,157,456/7,092
  6. Step 6: Final answer
    x = 8,764.45

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.