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Finding the Third Proportional to 29.11 and 46.55

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Solution

The third proportional to 29.11 and 46.55 is: 74.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.11 : 46.55 = 46.55 : x
  2. Step 2: Convert to fraction form
    29.11/46.55 = 46.55/x
  3. Step 3: Cross multiply
    29.11x = 46.55 × 46.55
  4. Step 4: Simplify right side
    29.11x = 2,166.61
  5. Step 5: Solve for x
    x = 2,166.61/29.11
  6. Step 6: Final answer
    x = 74.43

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.