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Finding the Third Proportional to 27,963 and 37,435.50

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Solution

The third proportional to 27,963 and 37,435.50 is: 50,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,963 : 37,435.50 = 37,435.50 : x
  2. Step 2: Convert to fraction form
    27,963/37,435.50 = 37,435.50/x
  3. Step 3: Cross multiply
    27,963x = 37,435.50 × 37,435.50
  4. Step 4: Simplify right side
    27,963x = 1,401,416,660.25
  5. Step 5: Solve for x
    x = 1,401,416,660.25/27,963
  6. Step 6: Final answer
    x = 50,116.82

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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.