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Finding the Third Proportional to 13.61 and 29.74

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Solution

The third proportional to 13.61 and 29.74 is: 65.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.61 : 29.74 = 29.74 : x
  2. Step 2: Convert to fraction form
    13.61/29.74 = 29.74/x
  3. Step 3: Cross multiply
    13.61x = 29.74 × 29.74
  4. Step 4: Simplify right side
    13.61x = 884.60
  5. Step 5: Solve for x
    x = 884.60/13.61
  6. Step 6: Final answer
    x = 65.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.