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Finding the Third Proportional to 27,963 and 42,351.75

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Solution

The third proportional to 27,963 and 42,351.75 is: 64,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,963 : 42,351.75 = 42,351.75 : x
  2. Step 2: Convert to fraction form
    27,963/42,351.75 = 42,351.75/x
  3. Step 3: Cross multiply
    27,963x = 42,351.75 × 42,351.75
  4. Step 4: Simplify right side
    27,963x = 1,793,670,728.06
  5. Step 5: Solve for x
    x = 1,793,670,728.06/27,963
  6. Step 6: Final answer
    x = 64,144.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.