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Finding the Third Proportional to 30.69 and 64.38

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Solution

The third proportional to 30.69 and 64.38 is: 135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.69 : 64.38 = 64.38 : x
  2. Step 2: Convert to fraction form
    30.69/64.38 = 64.38/x
  3. Step 3: Cross multiply
    30.69x = 64.38 × 64.38
  4. Step 4: Simplify right side
    30.69x = 4,144.14
  5. Step 5: Solve for x
    x = 4,144.14/30.69
  6. Step 6: Final answer
    x = 135.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.