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Finding the Third Proportional to 2,440.97 and 5,697.42

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Solution

The third proportional to 2,440.97 and 5,697.42 is: 13,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.97 : 5,697.42 = 5,697.42 : x
  2. Step 2: Convert to fraction form
    2,440.97/5,697.42 = 5,697.42/x
  3. Step 3: Cross multiply
    2,440.97x = 5,697.42 × 5,697.42
  4. Step 4: Simplify right side
    2,440.97x = 32,460,616.02
  5. Step 5: Solve for x
    x = 32,460,616.02/2,440.97
  6. Step 6: Final answer
    x = 13,298.25

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.