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Finding the Third Proportional to 8,306 and 17,974

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Solution

The third proportional to 8,306 and 17,974 is: 38,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306 : 17,974 = 17,974 : x
  2. Step 2: Convert to fraction form
    8,306/17,974 = 17,974/x
  3. Step 3: Cross multiply
    8,306x = 17,974 × 17,974
  4. Step 4: Simplify right side
    8,306x = 323,064,676
  5. Step 5: Solve for x
    x = 323,064,676/8,306
  6. Step 6: Final answer
    x = 38,895.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.