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Finding the Third Proportional to 9.70 and 22.04

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Solution

The third proportional to 9.70 and 22.04 is: 50.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.70 : 22.04 = 22.04 : x
  2. Step 2: Convert to fraction form
    9.70/22.04 = 22.04/x
  3. Step 3: Cross multiply
    9.70x = 22.04 × 22.04
  4. Step 4: Simplify right side
    9.70x = 485.89
  5. Step 5: Solve for x
    x = 485.89/9.70
  6. Step 6: Final answer
    x = 50.08

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.