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Finding the Third Proportional to 27,273 and 36,649.50

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Solution

The third proportional to 27,273 and 36,649.50 is: 49,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,273 : 36,649.50 = 36,649.50 : x
  2. Step 2: Convert to fraction form
    27,273/36,649.50 = 36,649.50/x
  3. Step 3: Cross multiply
    27,273x = 36,649.50 × 36,649.50
  4. Step 4: Simplify right side
    27,273x = 1,343,185,850.25
  5. Step 5: Solve for x
    x = 1,343,185,850.25/27,273
  6. Step 6: Final answer
    x = 49,249.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.