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Finding the Third Proportional to 2,403.42 and 3,206.46

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Solution

The third proportional to 2,403.42 and 3,206.46 is: 4,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.42 : 3,206.46 = 3,206.46 : x
  2. Step 2: Convert to fraction form
    2,403.42/3,206.46 = 3,206.46/x
  3. Step 3: Cross multiply
    2,403.42x = 3,206.46 × 3,206.46
  4. Step 4: Simplify right side
    2,403.42x = 10,281,391.74
  5. Step 5: Solve for x
    x = 10,281,391.74/2,403.42
  6. Step 6: Final answer
    x = 4,277.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.