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Finding the Third Proportional to 24,603.75 and 38,443.36

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Solution

The third proportional to 24,603.75 and 38,443.36 is: 60,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,603.75 : 38,443.36 = 38,443.36 : x
  2. Step 2: Convert to fraction form
    24,603.75/38,443.36 = 38,443.36/x
  3. Step 3: Cross multiply
    24,603.75x = 38,443.36 × 38,443.36
  4. Step 4: Simplify right side
    24,603.75x = 1,477,891,880.04
  5. Step 5: Solve for x
    x = 1,477,891,880.04/24,603.75
  6. Step 6: Final answer
    x = 60,067.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.