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Finding the Third Proportional to 37,265 and 56,379

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Solution

The third proportional to 37,265 and 56,379 is: 85,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,265 : 56,379 = 56,379 : x
  2. Step 2: Convert to fraction form
    37,265/56,379 = 56,379/x
  3. Step 3: Cross multiply
    37,265x = 56,379 × 56,379
  4. Step 4: Simplify right side
    37,265x = 3,178,591,641
  5. Step 5: Solve for x
    x = 3,178,591,641/37,265
  6. Step 6: Final answer
    x = 85,296.97

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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.