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Finding the Third Proportional to 1.14 and 2.46

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Solution

The third proportional to 1.14 and 2.46 is: 5.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.14 : 2.46 = 2.46 : x
  2. Step 2: Convert to fraction form
    1.14/2.46 = 2.46/x
  3. Step 3: Cross multiply
    1.14x = 2.46 × 2.46
  4. Step 4: Simplify right side
    1.14x = 6.06
  5. Step 5: Solve for x
    x = 6.06/1.14
  6. Step 6: Final answer
    x = 5.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.