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Finding the Third Proportional to 30.52 and 63.89

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Solution

The third proportional to 30.52 and 63.89 is: 133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.52 : 63.89 = 63.89 : x
  2. Step 2: Convert to fraction form
    30.52/63.89 = 63.89/x
  3. Step 3: Cross multiply
    30.52x = 63.89 × 63.89
  4. Step 4: Simplify right side
    30.52x = 4,082.01
  5. Step 5: Solve for x
    x = 4,082.01/30.52
  6. Step 6: Final answer
    x = 133.77

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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.