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Finding the Third Proportional to 1.16 and 2.58

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Solution

The third proportional to 1.16 and 2.58 is: 5.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.16 : 2.58 = 2.58 : x
  2. Step 2: Convert to fraction form
    1.16/2.58 = 2.58/x
  3. Step 3: Cross multiply
    1.16x = 2.58 × 2.58
  4. Step 4: Simplify right side
    1.16x = 6.65
  5. Step 5: Solve for x
    x = 6.65/1.16
  6. Step 6: Final answer
    x = 5.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.