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Finding the Third Proportional to 39,538.50 and 83,661.50

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Solution

The third proportional to 39,538.50 and 83,661.50 is: 177,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,538.50 : 83,661.50 = 83,661.50 : x
  2. Step 2: Convert to fraction form
    39,538.50/83,661.50 = 83,661.50/x
  3. Step 3: Cross multiply
    39,538.50x = 83,661.50 × 83,661.50
  4. Step 4: Simplify right side
    39,538.50x = 6,999,246,582.25
  5. Step 5: Solve for x
    x = 6,999,246,582.25/39,538.50
  6. Step 6: Final answer
    x = 177,023.57

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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.