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Finding the Third Proportional to 39,204.75 and 84,889.50

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Solution

The third proportional to 39,204.75 and 84,889.50 is: 183,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,204.75 : 84,889.50 = 84,889.50 : x
  2. Step 2: Convert to fraction form
    39,204.75/84,889.50 = 84,889.50/x
  3. Step 3: Cross multiply
    39,204.75x = 84,889.50 × 84,889.50
  4. Step 4: Simplify right side
    39,204.75x = 7,206,227,210.25
  5. Step 5: Solve for x
    x = 7,206,227,210.25/39,204.75
  6. Step 6: Final answer
    x = 183,810.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.