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Finding the Third Proportional to 11.02 and 24.15

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Solution

The third proportional to 11.02 and 24.15 is: 52.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.02 : 24.15 = 24.15 : x
  2. Step 2: Convert to fraction form
    11.02/24.15 = 24.15/x
  3. Step 3: Cross multiply
    11.02x = 24.15 × 24.15
  4. Step 4: Simplify right side
    11.02x = 583.34
  5. Step 5: Solve for x
    x = 583.34/11.02
  6. Step 6: Final answer
    x = 52.93

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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.