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Finding the Third Proportional to 1,966.78 and 2,950.17

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Solution

The third proportional to 1,966.78 and 2,950.17 is: 4,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.78 : 2,950.17 = 2,950.17 : x
  2. Step 2: Convert to fraction form
    1,966.78/2,950.17 = 2,950.17/x
  3. Step 3: Cross multiply
    1,966.78x = 2,950.17 × 2,950.17
  4. Step 4: Simplify right side
    1,966.78x = 8,703,514.09
  5. Step 5: Solve for x
    x = 8,703,514.09/1,966.78
  6. Step 6: Final answer
    x = 4,425.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.