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Finding the Third Proportional to 25.66 and 55.34

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Solution

The third proportional to 25.66 and 55.34 is: 119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.66 : 55.34 = 55.34 : x
  2. Step 2: Convert to fraction form
    25.66/55.34 = 55.34/x
  3. Step 3: Cross multiply
    25.66x = 55.34 × 55.34
  4. Step 4: Simplify right side
    25.66x = 3,062.07
  5. Step 5: Solve for x
    x = 3,062.07/25.66
  6. Step 6: Final answer
    x = 119.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.