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Finding the Third Proportional to 25.10 and 51.51

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Solution

The third proportional to 25.10 and 51.51 is: 105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.10 : 51.51 = 51.51 : x
  2. Step 2: Convert to fraction form
    25.10/51.51 = 51.51/x
  3. Step 3: Cross multiply
    25.10x = 51.51 × 51.51
  4. Step 4: Simplify right side
    25.10x = 2,653.77
  5. Step 5: Solve for x
    x = 2,653.77/25.10
  6. Step 6: Final answer
    x = 105.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.