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Finding the Third Proportional to 1.42 and 1.62

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Solution

The third proportional to 1.42 and 1.62 is: 1.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.42 : 1.62 = 1.62 : x
  2. Step 2: Convert to fraction form
    1.42/1.62 = 1.62/x
  3. Step 3: Cross multiply
    1.42x = 1.62 × 1.62
  4. Step 4: Simplify right side
    1.42x = 2.64
  5. Step 5: Solve for x
    x = 2.64/1.42
  6. Step 6: Final answer
    x = 1.86

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.