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Finding the Third Proportional to 33,918 and 52,518

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Solution

The third proportional to 33,918 and 52,518 is: 81,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,918 : 52,518 = 52,518 : x
  2. Step 2: Convert to fraction form
    33,918/52,518 = 52,518/x
  3. Step 3: Cross multiply
    33,918x = 52,518 × 52,518
  4. Step 4: Simplify right side
    33,918x = 2,758,140,324
  5. Step 5: Solve for x
    x = 2,758,140,324/33,918
  6. Step 6: Final answer
    x = 81,317.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.