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Finding the Third Proportional to 32,252.25 and 49,836.38

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Solution

The third proportional to 32,252.25 and 49,836.38 is: 77,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,252.25 : 49,836.38 = 49,836.38 : x
  2. Step 2: Convert to fraction form
    32,252.25/49,836.38 = 49,836.38/x
  3. Step 3: Cross multiply
    32,252.25x = 49,836.38 × 49,836.38
  4. Step 4: Simplify right side
    32,252.25x = 2,483,664,273.14
  5. Step 5: Solve for x
    x = 2,483,664,273.14/32,252.25
  6. Step 6: Final answer
    x = 77,007.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.