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Finding the Third Proportional to 11.53 and 29.06

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Solution

The third proportional to 11.53 and 29.06 is: 73.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.53 : 29.06 = 29.06 : x
  2. Step 2: Convert to fraction form
    11.53/29.06 = 29.06/x
  3. Step 3: Cross multiply
    11.53x = 29.06 × 29.06
  4. Step 4: Simplify right side
    11.53x = 844.63
  5. Step 5: Solve for x
    x = 844.63/11.53
  6. Step 6: Final answer
    x = 73.25

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Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.