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Finding the Third Proportional to 29.44 and 61.88

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Solution

The third proportional to 29.44 and 61.88 is: 130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.44 : 61.88 = 61.88 : x
  2. Step 2: Convert to fraction form
    29.44/61.88 = 61.88/x
  3. Step 3: Cross multiply
    29.44x = 61.88 × 61.88
  4. Step 4: Simplify right side
    29.44x = 3,828.52
  5. Step 5: Solve for x
    x = 3,828.52/29.44
  6. Step 6: Final answer
    x = 130.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.