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Finding the Third Proportional to 1.15 and 2.51

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Solution

The third proportional to 1.15 and 2.51 is: 5.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.15 : 2.51 = 2.51 : x
  2. Step 2: Convert to fraction form
    1.15/2.51 = 2.51/x
  3. Step 3: Cross multiply
    1.15x = 2.51 × 2.51
  4. Step 4: Simplify right side
    1.15x = 6.29
  5. Step 5: Solve for x
    x = 6.29/1.15
  6. Step 6: Final answer
    x = 5.48

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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.