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Finding the Third Proportional to 39,201.75 and 59,167.50

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Solution

The third proportional to 39,201.75 and 59,167.50 is: 89,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,201.75 : 59,167.50 = 59,167.50 : x
  2. Step 2: Convert to fraction form
    39,201.75/59,167.50 = 59,167.50/x
  3. Step 3: Cross multiply
    39,201.75x = 59,167.50 × 59,167.50
  4. Step 4: Simplify right side
    39,201.75x = 3,500,793,056.25
  5. Step 5: Solve for x
    x = 3,500,793,056.25/39,201.75
  6. Step 6: Final answer
    x = 89,301.96

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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.