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Finding the Third Proportional to 0.09 and 0.89

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Solution

The third proportional to 0.09 and 0.89 is: 8.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.09 : 0.89 = 0.89 : x
  2. Step 2: Convert to fraction form
    0.09/0.89 = 0.89/x
  3. Step 3: Cross multiply
    0.09x = 0.89 × 0.89
  4. Step 4: Simplify right side
    0.09x = 0.79
  5. Step 5: Solve for x
    x = 0.79/0.09
  6. Step 6: Final answer
    x = 8.46

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Why These Related Problems?

These problems maintain the same ratio (9.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.