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Finding the Third Proportional to 8.49 and 9.70

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Solution

The third proportional to 8.49 and 9.70 is: 11.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.49 : 9.70 = 9.70 : x
  2. Step 2: Convert to fraction form
    8.49/9.70 = 9.70/x
  3. Step 3: Cross multiply
    8.49x = 9.70 × 9.70
  4. Step 4: Simplify right side
    8.49x = 94.15
  5. Step 5: Solve for x
    x = 94.15/8.49
  6. Step 6: Final answer
    x = 11.08

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.