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Finding the Third Proportional to 37,947 and 54,657

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Solution

The third proportional to 37,947 and 54,657 is: 78,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,947 : 54,657 = 54,657 : x
  2. Step 2: Convert to fraction form
    37,947/54,657 = 54,657/x
  3. Step 3: Cross multiply
    37,947x = 54,657 × 54,657
  4. Step 4: Simplify right side
    37,947x = 2,987,387,649
  5. Step 5: Solve for x
    x = 2,987,387,649/37,947
  6. Step 6: Final answer
    x = 78,725.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.