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Finding the Third Proportional to 30.76 and 60.89

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Solution

The third proportional to 30.76 and 60.89 is: 120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.76 : 60.89 = 60.89 : x
  2. Step 2: Convert to fraction form
    30.76/60.89 = 60.89/x
  3. Step 3: Cross multiply
    30.76x = 60.89 × 60.89
  4. Step 4: Simplify right side
    30.76x = 3,707.67
  5. Step 5: Solve for x
    x = 3,707.67/30.76
  6. Step 6: Final answer
    x = 120.53

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.