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Finding the Third Proportional to 29.90 and 61.94

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Solution

The third proportional to 29.90 and 61.94 is: 128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.90 : 61.94 = 61.94 : x
  2. Step 2: Convert to fraction form
    29.90/61.94 = 61.94/x
  3. Step 3: Cross multiply
    29.90x = 61.94 × 61.94
  4. Step 4: Simplify right side
    29.90x = 3,836.13
  5. Step 5: Solve for x
    x = 3,836.13/29.90
  6. Step 6: Final answer
    x = 128.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.