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Finding the Third Proportional to 29.65 and 44.87

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Solution

The third proportional to 29.65 and 44.87 is: 67.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.65 : 44.87 = 44.87 : x
  2. Step 2: Convert to fraction form
    29.65/44.87 = 44.87/x
  3. Step 3: Cross multiply
    29.65x = 44.87 × 44.87
  4. Step 4: Simplify right side
    29.65x = 2,013.35
  5. Step 5: Solve for x
    x = 2,013.35/29.65
  6. Step 6: Final answer
    x = 67.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.