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Finding the Third Proportional to 4.61 and 10.09

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Solution

The third proportional to 4.61 and 10.09 is: 22.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.61 : 10.09 = 10.09 : x
  2. Step 2: Convert to fraction form
    4.61/10.09 = 10.09/x
  3. Step 3: Cross multiply
    4.61x = 10.09 × 10.09
  4. Step 4: Simplify right side
    4.61x = 101.85
  5. Step 5: Solve for x
    x = 101.85/4.61
  6. Step 6: Final answer
    x = 22.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.