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Finding the Third Proportional to 1.29 and 1.43

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Solution

The third proportional to 1.29 and 1.43 is: 1.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.29 : 1.43 = 1.43 : x
  2. Step 2: Convert to fraction form
    1.29/1.43 = 1.43/x
  3. Step 3: Cross multiply
    1.29x = 1.43 × 1.43
  4. Step 4: Simplify right side
    1.29x = 2.05
  5. Step 5: Solve for x
    x = 2.05/1.29
  6. Step 6: Final answer
    x = 1.58

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.