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Finding the Third Proportional to 2,440.13 and 2,797.03

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Solution

The third proportional to 2,440.13 and 2,797.03 is: 3,206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.13 : 2,797.03 = 2,797.03 : x
  2. Step 2: Convert to fraction form
    2,440.13/2,797.03 = 2,797.03/x
  3. Step 3: Cross multiply
    2,440.13x = 2,797.03 × 2,797.03
  4. Step 4: Simplify right side
    2,440.13x = 7,823,383.81
  5. Step 5: Solve for x
    x = 7,823,383.81/2,440.13
  6. Step 6: Final answer
    x = 3,206.14

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.