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Finding the Third Proportional to 2,425.14 and 4,209.55

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Solution

The third proportional to 2,425.14 and 4,209.55 is: 7,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.14 : 4,209.55 = 4,209.55 : x
  2. Step 2: Convert to fraction form
    2,425.14/4,209.55 = 4,209.55/x
  3. Step 3: Cross multiply
    2,425.14x = 4,209.55 × 4,209.55
  4. Step 4: Simplify right side
    2,425.14x = 17,720,293.11
  5. Step 5: Solve for x
    x = 17,720,293.11/2,425.14
  6. Step 6: Final answer
    x = 7,306.93

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.