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Finding the Third Proportional to 39,502.69 and 83,652.75

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Solution

The third proportional to 39,502.69 and 83,652.75 is: 177,147

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,502.69 : 83,652.75 = 83,652.75 : x
  2. Step 2: Convert to fraction form
    39,502.69/83,652.75 = 83,652.75/x
  3. Step 3: Cross multiply
    39,502.69x = 83,652.75 × 83,652.75
  4. Step 4: Simplify right side
    39,502.69x = 6,997,782,582.56
  5. Step 5: Solve for x
    x = 6,997,782,582.56/39,502.69
  6. Step 6: Final answer
    x = 177,147

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.