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Finding the Third Proportional to 39,320.44 and 84,138.75

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Solution

The third proportional to 39,320.44 and 84,138.75 is: 180,041.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,320.44 : 84,138.75 = 84,138.75 : x
  2. Step 2: Convert to fraction form
    39,320.44/84,138.75 = 84,138.75/x
  3. Step 3: Cross multiply
    39,320.44x = 84,138.75 × 84,138.75
  4. Step 4: Simplify right side
    39,320.44x = 7,079,329,251.56
  5. Step 5: Solve for x
    x = 7,079,329,251.56/39,320.44
  6. Step 6: Final answer
    x = 180,041.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.