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Finding the Third Proportional to 2,891.95 and 6,318.63

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Solution

The third proportional to 2,891.95 and 6,318.63 is: 13,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.95 : 6,318.63 = 6,318.63 : x
  2. Step 2: Convert to fraction form
    2,891.95/6,318.63 = 6,318.63/x
  3. Step 3: Cross multiply
    2,891.95x = 6,318.63 × 6,318.63
  4. Step 4: Simplify right side
    2,891.95x = 39,925,120.62
  5. Step 5: Solve for x
    x = 39,925,120.62/2,891.95
  6. Step 6: Final answer
    x = 13,805.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.