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Finding the Third Proportional to 36,988.50 and 80,896.50

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Solution

The third proportional to 36,988.50 and 80,896.50 is: 176,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,988.50 : 80,896.50 = 80,896.50 : x
  2. Step 2: Convert to fraction form
    36,988.50/80,896.50 = 80,896.50/x
  3. Step 3: Cross multiply
    36,988.50x = 80,896.50 × 80,896.50
  4. Step 4: Simplify right side
    36,988.50x = 6,544,243,712.25
  5. Step 5: Solve for x
    x = 6,544,243,712.25/36,988.50
  6. Step 6: Final answer
    x = 176,926.44

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Why These Related Problems?

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