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Finding the Third Proportional to 2,919.80 and 6,158.53

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Solution

The third proportional to 2,919.80 and 6,158.53 is: 12,989.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.80 : 6,158.53 = 6,158.53 : x
  2. Step 2: Convert to fraction form
    2,919.80/6,158.53 = 6,158.53/x
  3. Step 3: Cross multiply
    2,919.80x = 6,158.53 × 6,158.53
  4. Step 4: Simplify right side
    2,919.80x = 37,927,507.16
  5. Step 5: Solve for x
    x = 37,927,507.16/2,919.80
  6. Step 6: Final answer
    x = 12,989.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.