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Finding the Third Proportional to 909.38 and 1,859.25

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Solution

The third proportional to 909.38 and 1,859.25 is: 3,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.38 : 1,859.25 = 1,859.25 : x
  2. Step 2: Convert to fraction form
    909.38/1,859.25 = 1,859.25/x
  3. Step 3: Cross multiply
    909.38x = 1,859.25 × 1,859.25
  4. Step 4: Simplify right side
    909.38x = 3,456,810.56
  5. Step 5: Solve for x
    x = 3,456,810.56/909.38
  6. Step 6: Final answer
    x = 3,801.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.