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Finding the Third Proportional to 25,000 and 38,694

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Solution

The third proportional to 25,000 and 38,694 is: 59,889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,000 : 38,694 = 38,694 : x
  2. Step 2: Convert to fraction form
    25,000/38,694 = 38,694/x
  3. Step 3: Cross multiply
    25,000x = 38,694 × 38,694
  4. Step 4: Simplify right side
    25,000x = 1,497,225,636
  5. Step 5: Solve for x
    x = 1,497,225,636/25,000
  6. Step 6: Final answer
    x = 59,889.03

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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.