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Finding the Third Proportional to 38,843 and 59,981.50

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Solution

The third proportional to 38,843 and 59,981.50 is: 92,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,843 : 59,981.50 = 59,981.50 : x
  2. Step 2: Convert to fraction form
    38,843/59,981.50 = 59,981.50/x
  3. Step 3: Cross multiply
    38,843x = 59,981.50 × 59,981.50
  4. Step 4: Simplify right side
    38,843x = 3,597,780,342.25
  5. Step 5: Solve for x
    x = 3,597,780,342.25/38,843
  6. Step 6: Final answer
    x = 92,623.65

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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.