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Finding the Third Proportional to 27,503 and 41,315

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Solution

The third proportional to 27,503 and 41,315 is: 62,063.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,503 : 41,315 = 41,315 : x
  2. Step 2: Convert to fraction form
    27,503/41,315 = 41,315/x
  3. Step 3: Cross multiply
    27,503x = 41,315 × 41,315
  4. Step 4: Simplify right side
    27,503x = 1,706,929,225
  5. Step 5: Solve for x
    x = 1,706,929,225/27,503
  6. Step 6: Final answer
    x = 62,063.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.