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Finding the Third Proportional to 50,820 and 67,893

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Solution

The third proportional to 50,820 and 67,893 is: 90,701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,820 : 67,893 = 67,893 : x
  2. Step 2: Convert to fraction form
    50,820/67,893 = 67,893/x
  3. Step 3: Cross multiply
    50,820x = 67,893 × 67,893
  4. Step 4: Simplify right side
    50,820x = 4,609,459,449
  5. Step 5: Solve for x
    x = 4,609,459,449/50,820
  6. Step 6: Final answer
    x = 90,701.68

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.