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Finding the Third Proportional to 10.93 and 24.03

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Solution

The third proportional to 10.93 and 24.03 is: 52.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.93 : 24.03 = 24.03 : x
  2. Step 2: Convert to fraction form
    10.93/24.03 = 24.03/x
  3. Step 3: Cross multiply
    10.93x = 24.03 × 24.03
  4. Step 4: Simplify right side
    10.93x = 577.32
  5. Step 5: Solve for x
    x = 577.32/10.93
  6. Step 6: Final answer
    x = 52.81

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