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Finding the Third Proportional to 24.05 and 37.23

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Solution

The third proportional to 24.05 and 37.23 is: 57.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.05 : 37.23 = 37.23 : x
  2. Step 2: Convert to fraction form
    24.05/37.23 = 37.23/x
  3. Step 3: Cross multiply
    24.05x = 37.23 × 37.23
  4. Step 4: Simplify right side
    24.05x = 1,386.11
  5. Step 5: Solve for x
    x = 1,386.11/24.05
  6. Step 6: Final answer
    x = 57.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.