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Finding the Third Proportional to 10.19 and 22.26

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Solution

The third proportional to 10.19 and 22.26 is: 48.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.19 : 22.26 = 22.26 : x
  2. Step 2: Convert to fraction form
    10.19/22.26 = 22.26/x
  3. Step 3: Cross multiply
    10.19x = 22.26 × 22.26
  4. Step 4: Simplify right side
    10.19x = 495.63
  5. Step 5: Solve for x
    x = 495.63/10.19
  6. Step 6: Final answer
    x = 48.66

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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.