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Finding the Third Proportional to 1.07 and 1.66

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Solution

The third proportional to 1.07 and 1.66 is: 2.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.07 : 1.66 = 1.66 : x
  2. Step 2: Convert to fraction form
    1.07/1.66 = 1.66/x
  3. Step 3: Cross multiply
    1.07x = 1.66 × 1.66
  4. Step 4: Simplify right side
    1.07x = 2.76
  5. Step 5: Solve for x
    x = 2.76/1.07
  6. Step 6: Final answer
    x = 2.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.