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Finding the Third Proportional to 24,302 and 38,073

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Solution

The third proportional to 24,302 and 38,073 is: 59,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,302 : 38,073 = 38,073 : x
  2. Step 2: Convert to fraction form
    24,302/38,073 = 38,073/x
  3. Step 3: Cross multiply
    24,302x = 38,073 × 38,073
  4. Step 4: Simplify right side
    24,302x = 1,449,553,329
  5. Step 5: Solve for x
    x = 1,449,553,329/24,302
  6. Step 6: Final answer
    x = 59,647.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.