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Finding the Third Proportional to 22.90 and 50.14

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Solution

The third proportional to 22.90 and 50.14 is: 109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.90 : 50.14 = 50.14 : x
  2. Step 2: Convert to fraction form
    22.90/50.14 = 50.14/x
  3. Step 3: Cross multiply
    22.90x = 50.14 × 50.14
  4. Step 4: Simplify right side
    22.90x = 2,513.76
  5. Step 5: Solve for x
    x = 2,513.76/22.90
  6. Step 6: Final answer
    x = 109.77

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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.