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Finding the Third Proportional to 39,439.69 and 85,533.75

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Solution

The third proportional to 39,439.69 and 85,533.75 is: 185,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,439.69 : 85,533.75 = 85,533.75 : x
  2. Step 2: Convert to fraction form
    39,439.69/85,533.75 = 85,533.75/x
  3. Step 3: Cross multiply
    39,439.69x = 85,533.75 × 85,533.75
  4. Step 4: Simplify right side
    39,439.69x = 7,316,022,389.06
  5. Step 5: Solve for x
    x = 7,316,022,389.06/39,439.69
  6. Step 6: Final answer
    x = 185,498.99

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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.