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Finding the Third Proportional to 0.59 and 0.84

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Solution

The third proportional to 0.59 and 0.84 is: 1.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.59 : 0.84 = 0.84 : x
  2. Step 2: Convert to fraction form
    0.59/0.84 = 0.84/x
  3. Step 3: Cross multiply
    0.59x = 0.84 × 0.84
  4. Step 4: Simplify right side
    0.59x = 0.71
  5. Step 5: Solve for x
    x = 0.71/0.59
  6. Step 6: Final answer
    x = 1.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.