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Finding the Third Proportional to 9,082.84 and 19,479.47

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Solution

The third proportional to 9,082.84 and 19,479.47 is: 41,776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.84 : 19,479.47 = 19,479.47 : x
  2. Step 2: Convert to fraction form
    9,082.84/19,479.47 = 19,479.47/x
  3. Step 3: Cross multiply
    9,082.84x = 19,479.47 × 19,479.47
  4. Step 4: Simplify right side
    9,082.84x = 379,449,816.92
  5. Step 5: Solve for x
    x = 379,449,816.92/9,082.84
  6. Step 6: Final answer
    x = 41,776.57

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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.