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Finding the Third Proportional to 39,889.50 and 59,064

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Solution

The third proportional to 39,889.50 and 59,064 is: 87,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,889.50 : 59,064 = 59,064 : x
  2. Step 2: Convert to fraction form
    39,889.50/59,064 = 59,064/x
  3. Step 3: Cross multiply
    39,889.50x = 59,064 × 59,064
  4. Step 4: Simplify right side
    39,889.50x = 3,488,556,096
  5. Step 5: Solve for x
    x = 3,488,556,096/39,889.50
  6. Step 6: Final answer
    x = 87,455.50

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.