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Finding the Third Proportional to 2,944.90 and 6,409.20

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Solution

The third proportional to 2,944.90 and 6,409.20 is: 13,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.90 : 6,409.20 = 6,409.20 : x
  2. Step 2: Convert to fraction form
    2,944.90/6,409.20 = 6,409.20/x
  3. Step 3: Cross multiply
    2,944.90x = 6,409.20 × 6,409.20
  4. Step 4: Simplify right side
    2,944.90x = 41,077,784.55
  5. Step 5: Solve for x
    x = 41,077,784.55/2,944.90
  6. Step 6: Final answer
    x = 13,948.79

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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.