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Finding the Third Proportional to 39,973.50 and 80,767.13

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Solution

The third proportional to 39,973.50 and 80,767.13 is: 163,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,973.50 : 80,767.13 = 80,767.13 : x
  2. Step 2: Convert to fraction form
    39,973.50/80,767.13 = 80,767.13/x
  3. Step 3: Cross multiply
    39,973.50x = 80,767.13 × 80,767.13
  4. Step 4: Simplify right side
    39,973.50x = 6,523,328,480.77
  5. Step 5: Solve for x
    x = 6,523,328,480.77/39,973.50
  6. Step 6: Final answer
    x = 163,191.33

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.