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Finding the Third Proportional to 1.16 and 2.52

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Solution

The third proportional to 1.16 and 2.52 is: 5.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.16 : 2.52 = 2.52 : x
  2. Step 2: Convert to fraction form
    1.16/2.52 = 2.52/x
  3. Step 3: Cross multiply
    1.16x = 2.52 × 2.52
  4. Step 4: Simplify right side
    1.16x = 6.33
  5. Step 5: Solve for x
    x = 6.33/1.16
  6. Step 6: Final answer
    x = 5.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.