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Finding the Third Proportional to 24,701 and 38,305

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Solution

The third proportional to 24,701 and 38,305 is: 59,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,701 : 38,305 = 38,305 : x
  2. Step 2: Convert to fraction form
    24,701/38,305 = 38,305/x
  3. Step 3: Cross multiply
    24,701x = 38,305 × 38,305
  4. Step 4: Simplify right side
    24,701x = 1,467,273,025
  5. Step 5: Solve for x
    x = 1,467,273,025/24,701
  6. Step 6: Final answer
    x = 59,401.36

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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.