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Finding the Third Proportional to 10.14 and 22.30

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Solution

The third proportional to 10.14 and 22.30 is: 49.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.14 : 22.30 = 22.30 : x
  2. Step 2: Convert to fraction form
    10.14/22.30 = 22.30/x
  3. Step 3: Cross multiply
    10.14x = 22.30 × 22.30
  4. Step 4: Simplify right side
    10.14x = 497.30
  5. Step 5: Solve for x
    x = 497.30/10.14
  6. Step 6: Final answer
    x = 49.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.