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Finding the Third Proportional to 12.00 and 12.53

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Solution

The third proportional to 12.00 and 12.53 is: 13.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.00 : 12.53 = 12.53 : x
  2. Step 2: Convert to fraction form
    12.00/12.53 = 12.53/x
  3. Step 3: Cross multiply
    12.00x = 12.53 × 12.53
  4. Step 4: Simplify right side
    12.00x = 157.11
  5. Step 5: Solve for x
    x = 157.11/12.00
  6. Step 6: Final answer
    x = 13.09

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.