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Finding the Third Proportional to 8,076 and 8,940

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Solution

The third proportional to 8,076 and 8,940 is: 9,896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076 : 8,940 = 8,940 : x
  2. Step 2: Convert to fraction form
    8,076/8,940 = 8,940/x
  3. Step 3: Cross multiply
    8,076x = 8,940 × 8,940
  4. Step 4: Simplify right side
    8,076x = 79,923,600
  5. Step 5: Solve for x
    x = 79,923,600/8,076
  6. Step 6: Final answer
    x = 9,896.43

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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.