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Finding the Third Proportional to 37,999.13 and 80,038.13

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Solution

The third proportional to 37,999.13 and 80,038.13 is: 168,585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,999.13 : 80,038.13 = 80,038.13 : x
  2. Step 2: Convert to fraction form
    37,999.13/80,038.13 = 80,038.13/x
  3. Step 3: Cross multiply
    37,999.13x = 80,038.13 × 80,038.13
  4. Step 4: Simplify right side
    37,999.13x = 6,406,101,453.52
  5. Step 5: Solve for x
    x = 6,406,101,453.52/37,999.13
  6. Step 6: Final answer
    x = 168,585.50

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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.