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Finding the Third Proportional to 902.11 and 1,875.09

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Solution

The third proportional to 902.11 and 1,875.09 is: 3,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.11 : 1,875.09 = 1,875.09 : x
  2. Step 2: Convert to fraction form
    902.11/1,875.09 = 1,875.09/x
  3. Step 3: Cross multiply
    902.11x = 1,875.09 × 1,875.09
  4. Step 4: Simplify right side
    902.11x = 3,515,976.57
  5. Step 5: Solve for x
    x = 3,515,976.57/902.11
  6. Step 6: Final answer
    x = 3,897.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.