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Finding the Third Proportional to 2,950.17 and 3,466.55

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Solution

The third proportional to 2,950.17 and 3,466.55 is: 4,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.17 : 3,466.55 = 3,466.55 : x
  2. Step 2: Convert to fraction form
    2,950.17/3,466.55 = 3,466.55/x
  3. Step 3: Cross multiply
    2,950.17x = 3,466.55 × 3,466.55
  4. Step 4: Simplify right side
    2,950.17x = 12,016,947.24
  5. Step 5: Solve for x
    x = 12,016,947.24/2,950.17
  6. Step 6: Final answer
    x = 4,073.30

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.