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Finding the Third Proportional to 29.90 and 44.85

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Solution

The third proportional to 29.90 and 44.85 is: 67.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.90 : 44.85 = 44.85 : x
  2. Step 2: Convert to fraction form
    29.90/44.85 = 44.85/x
  3. Step 3: Cross multiply
    29.90x = 44.85 × 44.85
  4. Step 4: Simplify right side
    29.90x = 2,011.58
  5. Step 5: Solve for x
    x = 2,011.58/29.90
  6. Step 6: Final answer
    x = 67.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.