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Finding the Third Proportional to 903.19 and 1,936.31

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Solution

The third proportional to 903.19 and 1,936.31 is: 4,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.19 : 1,936.31 = 1,936.31 : x
  2. Step 2: Convert to fraction form
    903.19/1,936.31 = 1,936.31/x
  3. Step 3: Cross multiply
    903.19x = 1,936.31 × 1,936.31
  4. Step 4: Simplify right side
    903.19x = 3,749,306.10
  5. Step 5: Solve for x
    x = 3,749,306.10/903.19
  6. Step 6: Final answer
    x = 4,151.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.