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Finding the Third Proportional to 20.04 and 34.07

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Solution

The third proportional to 20.04 and 34.07 is: 57.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.04 : 34.07 = 34.07 : x
  2. Step 2: Convert to fraction form
    20.04/34.07 = 34.07/x
  3. Step 3: Cross multiply
    20.04x = 34.07 × 34.07
  4. Step 4: Simplify right side
    20.04x = 1,160.84
  5. Step 5: Solve for x
    x = 1,160.84/20.04
  6. Step 6: Final answer
    x = 57.92

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.