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Finding the Third Proportional to 32,394.94 and 49,975.73

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Solution

The third proportional to 32,394.94 and 49,975.73 is: 77,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,394.94 : 49,975.73 = 49,975.73 : x
  2. Step 2: Convert to fraction form
    32,394.94/49,975.73 = 49,975.73/x
  3. Step 3: Cross multiply
    32,394.94x = 49,975.73 × 49,975.73
  4. Step 4: Simplify right side
    32,394.94x = 2,497,574,026.32
  5. Step 5: Solve for x
    x = 2,497,574,026.32/32,394.94
  6. Step 6: Final answer
    x = 77,097.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.