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Finding the Third Proportional to 13.50 and 29.53

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Solution

The third proportional to 13.50 and 29.53 is: 64.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.50 : 29.53 = 29.53 : x
  2. Step 2: Convert to fraction form
    13.50/29.53 = 29.53/x
  3. Step 3: Cross multiply
    13.50x = 29.53 × 29.53
  4. Step 4: Simplify right side
    13.50x = 872.09
  5. Step 5: Solve for x
    x = 872.09/13.50
  6. Step 6: Final answer
    x = 64.60

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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.