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Finding the Third Proportional to 39,803.50 and 83,927

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Solution

The third proportional to 39,803.50 and 83,927 is: 176,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,803.50 : 83,927 = 83,927 : x
  2. Step 2: Convert to fraction form
    39,803.50/83,927 = 83,927/x
  3. Step 3: Cross multiply
    39,803.50x = 83,927 × 83,927
  4. Step 4: Simplify right side
    39,803.50x = 7,043,741,329
  5. Step 5: Solve for x
    x = 7,043,741,329/39,803.50
  6. Step 6: Final answer
    x = 176,962.86

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.