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Finding the Third Proportional to 30.75 and 52.38

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Solution

The third proportional to 30.75 and 52.38 is: 89.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.75 : 52.38 = 52.38 : x
  2. Step 2: Convert to fraction form
    30.75/52.38 = 52.38/x
  3. Step 3: Cross multiply
    30.75x = 52.38 × 52.38
  4. Step 4: Simplify right side
    30.75x = 2,743.14
  5. Step 5: Solve for x
    x = 2,743.14/30.75
  6. Step 6: Final answer
    x = 89.21

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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.