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Finding the Third Proportional to 36,827 and 56,637

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Solution

The third proportional to 36,827 and 56,637 is: 87,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,827 : 56,637 = 56,637 : x
  2. Step 2: Convert to fraction form
    36,827/56,637 = 56,637/x
  3. Step 3: Cross multiply
    36,827x = 56,637 × 56,637
  4. Step 4: Simplify right side
    36,827x = 3,207,749,769
  5. Step 5: Solve for x
    x = 3,207,749,769/36,827
  6. Step 6: Final answer
    x = 87,103.21

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.