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Finding the Third Proportional to 903.34 and 2,079.42

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Solution

The third proportional to 903.34 and 2,079.42 is: 4,786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.34 : 2,079.42 = 2,079.42 : x
  2. Step 2: Convert to fraction form
    903.34/2,079.42 = 2,079.42/x
  3. Step 3: Cross multiply
    903.34x = 2,079.42 × 2,079.42
  4. Step 4: Simplify right side
    903.34x = 4,323,995.33
  5. Step 5: Solve for x
    x = 4,323,995.33/903.34
  6. Step 6: Final answer
    x = 4,786.68

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.