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Finding the Third Proportional to 27,733.50 and 36,963

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Solution

The third proportional to 27,733.50 and 36,963 is: 49,264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,733.50 : 36,963 = 36,963 : x
  2. Step 2: Convert to fraction form
    27,733.50/36,963 = 36,963/x
  3. Step 3: Cross multiply
    27,733.50x = 36,963 × 36,963
  4. Step 4: Simplify right side
    27,733.50x = 1,366,263,369
  5. Step 5: Solve for x
    x = 1,366,263,369/27,733.50
  6. Step 6: Final answer
    x = 49,264.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.