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Finding the Third Proportional to 885 and 1,903.13

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Solution

The third proportional to 885 and 1,903.13 is: 4,092.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    885 : 1,903.13 = 1,903.13 : x
  2. Step 2: Convert to fraction form
    885/1,903.13 = 1,903.13/x
  3. Step 3: Cross multiply
    885x = 1,903.13 × 1,903.13
  4. Step 4: Simplify right side
    885x = 3,621,884.77
  5. Step 5: Solve for x
    x = 3,621,884.77/885
  6. Step 6: Final answer
    x = 4,092.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.