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Finding the Third Proportional to 39,019.50 and 83,957.25

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Solution

The third proportional to 39,019.50 and 83,957.25 is: 180,648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,019.50 : 83,957.25 = 83,957.25 : x
  2. Step 2: Convert to fraction form
    39,019.50/83,957.25 = 83,957.25/x
  3. Step 3: Cross multiply
    39,019.50x = 83,957.25 × 83,957.25
  4. Step 4: Simplify right side
    39,019.50x = 7,048,819,827.56
  5. Step 5: Solve for x
    x = 7,048,819,827.56/39,019.50
  6. Step 6: Final answer
    x = 180,648.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.