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Finding the Third Proportional to 10.55 and 22.99

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Solution

The third proportional to 10.55 and 22.99 is: 50.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.55 : 22.99 = 22.99 : x
  2. Step 2: Convert to fraction form
    10.55/22.99 = 22.99/x
  3. Step 3: Cross multiply
    10.55x = 22.99 × 22.99
  4. Step 4: Simplify right side
    10.55x = 528.64
  5. Step 5: Solve for x
    x = 528.64/10.55
  6. Step 6: Final answer
    x = 50.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.