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Finding the Third Proportional to 30.75 and 57.13

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Solution

The third proportional to 30.75 and 57.13 is: 106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.75 : 57.13 = 57.13 : x
  2. Step 2: Convert to fraction form
    30.75/57.13 = 57.13/x
  3. Step 3: Cross multiply
    30.75x = 57.13 × 57.13
  4. Step 4: Simplify right side
    30.75x = 3,263.27
  5. Step 5: Solve for x
    x = 3,263.27/30.75
  6. Step 6: Final answer
    x = 106.12

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.