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Finding the Third Proportional to 28.34 and 59.20

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Solution

The third proportional to 28.34 and 59.20 is: 123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.34 : 59.20 = 59.20 : x
  2. Step 2: Convert to fraction form
    28.34/59.20 = 59.20/x
  3. Step 3: Cross multiply
    28.34x = 59.20 × 59.20
  4. Step 4: Simplify right side
    28.34x = 3,505.01
  5. Step 5: Solve for x
    x = 3,505.01/28.34
  6. Step 6: Final answer
    x = 123.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.