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Finding the Third Proportional to 1.10 and 2.59

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Solution

The third proportional to 1.10 and 2.59 is: 6.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.10 : 2.59 = 2.59 : x
  2. Step 2: Convert to fraction form
    1.10/2.59 = 2.59/x
  3. Step 3: Cross multiply
    1.10x = 2.59 × 2.59
  4. Step 4: Simplify right side
    1.10x = 6.69
  5. Step 5: Solve for x
    x = 6.69/1.10
  6. Step 6: Final answer
    x = 6.07

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.