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Finding the Third Proportional to 29.91 and 39.84

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Solution

The third proportional to 29.91 and 39.84 is: 53.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.91 : 39.84 = 39.84 : x
  2. Step 2: Convert to fraction form
    29.91/39.84 = 39.84/x
  3. Step 3: Cross multiply
    29.91x = 39.84 × 39.84
  4. Step 4: Simplify right side
    29.91x = 1,587.52
  5. Step 5: Solve for x
    x = 1,587.52/29.91
  6. Step 6: Final answer
    x = 53.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.