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Finding the Third Proportional to 1.05 and 1.65

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Solution

The third proportional to 1.05 and 1.65 is: 2.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.05 : 1.65 = 1.65 : x
  2. Step 2: Convert to fraction form
    1.05/1.65 = 1.65/x
  3. Step 3: Cross multiply
    1.05x = 1.65 × 1.65
  4. Step 4: Simplify right side
    1.05x = 2.73
  5. Step 5: Solve for x
    x = 2.73/1.05
  6. Step 6: Final answer
    x = 2.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.