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Finding the Third Proportional to 25.07 and 53.51

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Solution

The third proportional to 25.07 and 53.51 is: 114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.07 : 53.51 = 53.51 : x
  2. Step 2: Convert to fraction form
    25.07/53.51 = 53.51/x
  3. Step 3: Cross multiply
    25.07x = 53.51 × 53.51
  4. Step 4: Simplify right side
    25.07x = 2,863.54
  5. Step 5: Solve for x
    x = 2,863.54/25.07
  6. Step 6: Final answer
    x = 114.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.