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Finding the Third Proportional to 2,045.25 and 4,209.75

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Solution

The third proportional to 2,045.25 and 4,209.75 is: 8,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.25 : 4,209.75 = 4,209.75 : x
  2. Step 2: Convert to fraction form
    2,045.25/4,209.75 = 4,209.75/x
  3. Step 3: Cross multiply
    2,045.25x = 4,209.75 × 4,209.75
  4. Step 4: Simplify right side
    2,045.25x = 17,721,995.06
  5. Step 5: Solve for x
    x = 17,721,995.06/2,045.25
  6. Step 6: Final answer
    x = 8,664.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.