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Finding the Third Proportional to 25.52 and 55.05

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Solution

The third proportional to 25.52 and 55.05 is: 118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.52 : 55.05 = 55.05 : x
  2. Step 2: Convert to fraction form
    25.52/55.05 = 55.05/x
  3. Step 3: Cross multiply
    25.52x = 55.05 × 55.05
  4. Step 4: Simplify right side
    25.52x = 3,031.02
  5. Step 5: Solve for x
    x = 3,031.02/25.52
  6. Step 6: Final answer
    x = 118.75

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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.