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Finding the Third Proportional to 30.61 and 42.84

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Solution

The third proportional to 30.61 and 42.84 is: 59.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.61 : 42.84 = 42.84 : x
  2. Step 2: Convert to fraction form
    30.61/42.84 = 42.84/x
  3. Step 3: Cross multiply
    30.61x = 42.84 × 42.84
  4. Step 4: Simplify right side
    30.61x = 1,835.59
  5. Step 5: Solve for x
    x = 1,835.59/30.61
  6. Step 6: Final answer
    x = 59.97

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.