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Finding the Third Proportional to 7,974 and 17,034

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Solution

The third proportional to 7,974 and 17,034 is: 36,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974 : 17,034 = 17,034 : x
  2. Step 2: Convert to fraction form
    7,974/17,034 = 17,034/x
  3. Step 3: Cross multiply
    7,974x = 17,034 × 17,034
  4. Step 4: Simplify right side
    7,974x = 290,157,156
  5. Step 5: Solve for x
    x = 290,157,156/7,974
  6. Step 6: Final answer
    x = 36,387.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.