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Finding the Third Proportional to 4.90 and 10.44

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Solution

The third proportional to 4.90 and 10.44 is: 22.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.90 : 10.44 = 10.44 : x
  2. Step 2: Convert to fraction form
    4.90/10.44 = 10.44/x
  3. Step 3: Cross multiply
    4.90x = 10.44 × 10.44
  4. Step 4: Simplify right side
    4.90x = 109.02
  5. Step 5: Solve for x
    x = 109.02/4.90
  6. Step 6: Final answer
    x = 22.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.