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Finding the Third Proportional to 32,699.81 and 49,049.99

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Solution

The third proportional to 32,699.81 and 49,049.99 is: 73,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,699.81 : 49,049.99 = 49,049.99 : x
  2. Step 2: Convert to fraction form
    32,699.81/49,049.99 = 49,049.99/x
  3. Step 3: Cross multiply
    32,699.81x = 49,049.99 × 49,049.99
  4. Step 4: Simplify right side
    32,699.81x = 2,405,901,422.24
  5. Step 5: Solve for x
    x = 2,405,901,422.24/32,699.81
  6. Step 6: Final answer
    x = 73,575.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.