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Finding the Third Proportional to 25,401 and 38,833.50

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Solution

The third proportional to 25,401 and 38,833.50 is: 59,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,401 : 38,833.50 = 38,833.50 : x
  2. Step 2: Convert to fraction form
    25,401/38,833.50 = 38,833.50/x
  3. Step 3: Cross multiply
    25,401x = 38,833.50 × 38,833.50
  4. Step 4: Simplify right side
    25,401x = 1,508,040,722.25
  5. Step 5: Solve for x
    x = 1,508,040,722.25/25,401
  6. Step 6: Final answer
    x = 59,369.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.