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Finding the Third Proportional to 2,950.17 and 6,359.77

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Solution

The third proportional to 2,950.17 and 6,359.77 is: 13,709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.17 : 6,359.77 = 6,359.77 : x
  2. Step 2: Convert to fraction form
    2,950.17/6,359.77 = 6,359.77/x
  3. Step 3: Cross multiply
    2,950.17x = 6,359.77 × 6,359.77
  4. Step 4: Simplify right side
    2,950.17x = 40,446,618.80
  5. Step 5: Solve for x
    x = 40,446,618.80/2,950.17
  6. Step 6: Final answer
    x = 13,709.92

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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.