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Finding the Third Proportional to 25.51 and 48.55

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Solution

The third proportional to 25.51 and 48.55 is: 92.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.51 : 48.55 = 48.55 : x
  2. Step 2: Convert to fraction form
    25.51/48.55 = 48.55/x
  3. Step 3: Cross multiply
    25.51x = 48.55 × 48.55
  4. Step 4: Simplify right side
    25.51x = 2,357.25
  5. Step 5: Solve for x
    x = 2,357.25/25.51
  6. Step 6: Final answer
    x = 92.40

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.