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Finding the Third Proportional to 39,559.50 and 93,384

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Solution

The third proportional to 39,559.50 and 93,384 is: 220,441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,559.50 : 93,384 = 93,384 : x
  2. Step 2: Convert to fraction form
    39,559.50/93,384 = 93,384/x
  3. Step 3: Cross multiply
    39,559.50x = 93,384 × 93,384
  4. Step 4: Simplify right side
    39,559.50x = 8,720,571,456
  5. Step 5: Solve for x
    x = 8,720,571,456/39,559.50
  6. Step 6: Final answer
    x = 220,441.90

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.