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Finding the Third Proportional to 0.84 and 1.29

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Solution

The third proportional to 0.84 and 1.29 is: 1.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.84 : 1.29 = 1.29 : x
  2. Step 2: Convert to fraction form
    0.84/1.29 = 1.29/x
  3. Step 3: Cross multiply
    0.84x = 1.29 × 1.29
  4. Step 4: Simplify right side
    0.84x = 1.67
  5. Step 5: Solve for x
    x = 1.67/0.84
  6. Step 6: Final answer
    x = 1.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.