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Finding the Third Proportional to 39,639.38 and 89,742.94

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Solution

The third proportional to 39,639.38 and 89,742.94 is: 203,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,639.38 : 89,742.94 = 89,742.94 : x
  2. Step 2: Convert to fraction form
    39,639.38/89,742.94 = 89,742.94/x
  3. Step 3: Cross multiply
    39,639.38x = 89,742.94 × 89,742.94
  4. Step 4: Simplify right side
    39,639.38x = 8,053,794,831.13
  5. Step 5: Solve for x
    x = 8,053,794,831.13/39,639.38
  6. Step 6: Final answer
    x = 203,176.64

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.