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Finding the Third Proportional to 0.84 and 1.37

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Solution

The third proportional to 0.84 and 1.37 is: 2.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.84 : 1.37 = 1.37 : x
  2. Step 2: Convert to fraction form
    0.84/1.37 = 1.37/x
  3. Step 3: Cross multiply
    0.84x = 1.37 × 1.37
  4. Step 4: Simplify right side
    0.84x = 1.88
  5. Step 5: Solve for x
    x = 1.88/0.84
  6. Step 6: Final answer
    x = 2.23

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.