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Finding the Third Proportional to 25,299 and 39,273

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Solution

The third proportional to 25,299 and 39,273 is: 60,965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,299 : 39,273 = 39,273 : x
  2. Step 2: Convert to fraction form
    25,299/39,273 = 39,273/x
  3. Step 3: Cross multiply
    25,299x = 39,273 × 39,273
  4. Step 4: Simplify right side
    25,299x = 1,542,368,529
  5. Step 5: Solve for x
    x = 1,542,368,529/25,299
  6. Step 6: Final answer
    x = 60,965.59

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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.