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Finding the Third Proportional to 37,899 and 56,853

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Solution

The third proportional to 37,899 and 56,853 is: 85,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,899 : 56,853 = 56,853 : x
  2. Step 2: Convert to fraction form
    37,899/56,853 = 56,853/x
  3. Step 3: Cross multiply
    37,899x = 56,853 × 56,853
  4. Step 4: Simplify right side
    37,899x = 3,232,263,609
  5. Step 5: Solve for x
    x = 3,232,263,609/37,899
  6. Step 6: Final answer
    x = 85,286.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.