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Finding the Third Proportional to 2,412.28 and 3,643.95

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Solution

The third proportional to 2,412.28 and 3,643.95 is: 5,504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.28 : 3,643.95 = 3,643.95 : x
  2. Step 2: Convert to fraction form
    2,412.28/3,643.95 = 3,643.95/x
  3. Step 3: Cross multiply
    2,412.28x = 3,643.95 × 3,643.95
  4. Step 4: Simplify right side
    2,412.28x = 13,278,337.44
  5. Step 5: Solve for x
    x = 13,278,337.44/2,412.28
  6. Step 6: Final answer
    x = 5,504.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.