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Finding the Third Proportional to 12.81 and 26.50

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Solution

The third proportional to 12.81 and 26.50 is: 54.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.81 : 26.50 = 26.50 : x
  2. Step 2: Convert to fraction form
    12.81/26.50 = 26.50/x
  3. Step 3: Cross multiply
    12.81x = 26.50 × 26.50
  4. Step 4: Simplify right side
    12.81x = 702.25
  5. Step 5: Solve for x
    x = 702.25/12.81
  6. Step 6: Final answer
    x = 54.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.