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Finding the Third Proportional to 38,781 and 59,917.50

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Solution

The third proportional to 38,781 and 59,917.50 is: 92,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,781 : 59,917.50 = 59,917.50 : x
  2. Step 2: Convert to fraction form
    38,781/59,917.50 = 59,917.50/x
  3. Step 3: Cross multiply
    38,781x = 59,917.50 × 59,917.50
  4. Step 4: Simplify right side
    38,781x = 3,590,106,806.25
  5. Step 5: Solve for x
    x = 3,590,106,806.25/38,781
  6. Step 6: Final answer
    x = 92,573.86

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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.