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Finding the Third Proportional to 29.75 and 46.06

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Solution

The third proportional to 29.75 and 46.06 is: 71.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.75 : 46.06 = 46.06 : x
  2. Step 2: Convert to fraction form
    29.75/46.06 = 46.06/x
  3. Step 3: Cross multiply
    29.75x = 46.06 × 46.06
  4. Step 4: Simplify right side
    29.75x = 2,121.75
  5. Step 5: Solve for x
    x = 2,121.75/29.75
  6. Step 6: Final answer
    x = 71.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.