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Finding the Third Proportional to 12.53 and 26.51

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Solution

The third proportional to 12.53 and 26.51 is: 56.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.53 : 26.51 = 26.51 : x
  2. Step 2: Convert to fraction form
    12.53/26.51 = 26.51/x
  3. Step 3: Cross multiply
    12.53x = 26.51 × 26.51
  4. Step 4: Simplify right side
    12.53x = 703.04
  5. Step 5: Solve for x
    x = 703.04/12.53
  6. Step 6: Final answer
    x = 56.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.