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Finding the Third Proportional to 11.40 and 25.02

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Solution

The third proportional to 11.40 and 25.02 is: 54.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.40 : 25.02 = 25.02 : x
  2. Step 2: Convert to fraction form
    11.40/25.02 = 25.02/x
  3. Step 3: Cross multiply
    11.40x = 25.02 × 25.02
  4. Step 4: Simplify right side
    11.40x = 625.98
  5. Step 5: Solve for x
    x = 625.98/11.40
  6. Step 6: Final answer
    x = 54.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.