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Finding the Third Proportional to 25.63 and 55.37

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Solution

The third proportional to 25.63 and 55.37 is: 119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.63 : 55.37 = 55.37 : x
  2. Step 2: Convert to fraction form
    25.63/55.37 = 55.37/x
  3. Step 3: Cross multiply
    25.63x = 55.37 × 55.37
  4. Step 4: Simplify right side
    25.63x = 3,065.96
  5. Step 5: Solve for x
    x = 3,065.96/25.63
  6. Step 6: Final answer
    x = 119.63

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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.