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Finding the Third Proportional to 0.56 and 0.83

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Solution

The third proportional to 0.56 and 0.83 is: 1.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.56 : 0.83 = 0.83 : x
  2. Step 2: Convert to fraction form
    0.56/0.83 = 0.83/x
  3. Step 3: Cross multiply
    0.56x = 0.83 × 0.83
  4. Step 4: Simplify right side
    0.56x = 0.69
  5. Step 5: Solve for x
    x = 0.69/0.56
  6. Step 6: Final answer
    x = 1.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.