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Finding the Third Proportional to 37,782 and 52,963

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Solution

The third proportional to 37,782 and 52,963 is: 74,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,782 : 52,963 = 52,963 : x
  2. Step 2: Convert to fraction form
    37,782/52,963 = 52,963/x
  3. Step 3: Cross multiply
    37,782x = 52,963 × 52,963
  4. Step 4: Simplify right side
    37,782x = 2,805,079,369
  5. Step 5: Solve for x
    x = 2,805,079,369/37,782
  6. Step 6: Final answer
    x = 74,243.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.