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Finding the Third Proportional to 1.01 and 2.65

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Solution

The third proportional to 1.01 and 2.65 is: 6.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.01 : 2.65 = 2.65 : x
  2. Step 2: Convert to fraction form
    1.01/2.65 = 2.65/x
  3. Step 3: Cross multiply
    1.01x = 2.65 × 2.65
  4. Step 4: Simplify right side
    1.01x = 7.00
  5. Step 5: Solve for x
    x = 7.00/1.01
  6. Step 6: Final answer
    x = 6.95

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.