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Finding the Third Proportional to 39,834 and 60,059.25

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Solution

The third proportional to 39,834 and 60,059.25 is: 90,553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,834 : 60,059.25 = 60,059.25 : x
  2. Step 2: Convert to fraction form
    39,834/60,059.25 = 60,059.25/x
  3. Step 3: Cross multiply
    39,834x = 60,059.25 × 60,059.25
  4. Step 4: Simplify right side
    39,834x = 3,607,113,510.56
  5. Step 5: Solve for x
    x = 3,607,113,510.56/39,834
  6. Step 6: Final answer
    x = 90,553.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.