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Finding the Third Proportional to 9.70 and 22.78

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Solution

The third proportional to 9.70 and 22.78 is: 53.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.70 : 22.78 = 22.78 : x
  2. Step 2: Convert to fraction form
    9.70/22.78 = 22.78/x
  3. Step 3: Cross multiply
    9.70x = 22.78 × 22.78
  4. Step 4: Simplify right side
    9.70x = 518.99
  5. Step 5: Solve for x
    x = 518.99/9.70
  6. Step 6: Final answer
    x = 53.49

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.