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Finding the Third Proportional to 39,448.13 and 85,508.44

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Solution

The third proportional to 39,448.13 and 85,508.44 is: 185,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,448.13 : 85,508.44 = 85,508.44 : x
  2. Step 2: Convert to fraction form
    39,448.13/85,508.44 = 85,508.44/x
  3. Step 3: Cross multiply
    39,448.13x = 85,508.44 × 85,508.44
  4. Step 4: Simplify right side
    39,448.13x = 7,311,692,883.69
  5. Step 5: Solve for x
    x = 7,311,692,883.69/39,448.13
  6. Step 6: Final answer
    x = 185,349.57

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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.