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Finding the Third Proportional to 39,648.94 and 89,278.59

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Solution

The third proportional to 39,648.94 and 89,278.59 is: 201,031.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,648.94 : 89,278.59 = 89,278.59 : x
  2. Step 2: Convert to fraction form
    39,648.94/89,278.59 = 89,278.59/x
  3. Step 3: Cross multiply
    39,648.94x = 89,278.59 × 89,278.59
  4. Step 4: Simplify right side
    39,648.94x = 7,970,667,301.98
  5. Step 5: Solve for x
    x = 7,970,667,301.98/39,648.94
  6. Step 6: Final answer
    x = 201,031.04

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.