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Finding the Third Proportional to 36,991.75 and 80,903.50

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Solution

The third proportional to 36,991.75 and 80,903.50 is: 176,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,991.75 : 80,903.50 = 80,903.50 : x
  2. Step 2: Convert to fraction form
    36,991.75/80,903.50 = 80,903.50/x
  3. Step 3: Cross multiply
    36,991.75x = 80,903.50 × 80,903.50
  4. Step 4: Simplify right side
    36,991.75x = 6,545,376,312.25
  5. Step 5: Solve for x
    x = 6,545,376,312.25/36,991.75
  6. Step 6: Final answer
    x = 176,941.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.