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Finding the Third Proportional to 32,394.94 and 50,027.63

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Solution

The third proportional to 32,394.94 and 50,027.63 is: 77,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,394.94 : 50,027.63 = 50,027.63 : x
  2. Step 2: Convert to fraction form
    32,394.94/50,027.63 = 50,027.63/x
  3. Step 3: Cross multiply
    32,394.94x = 50,027.63 × 50,027.63
  4. Step 4: Simplify right side
    32,394.94x = 2,502,763,263.14
  5. Step 5: Solve for x
    x = 2,502,763,263.14/32,394.94
  6. Step 6: Final answer
    x = 77,257.85

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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.