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Finding the Third Proportional to 32,349.94 and 49,548.80

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Solution

The third proportional to 32,349.94 and 49,548.80 is: 75,891.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,349.94 : 49,548.80 = 49,548.80 : x
  2. Step 2: Convert to fraction form
    32,349.94/49,548.80 = 49,548.80/x
  3. Step 3: Cross multiply
    32,349.94x = 49,548.80 × 49,548.80
  4. Step 4: Simplify right side
    32,349.94x = 2,455,083,271.76
  5. Step 5: Solve for x
    x = 2,455,083,271.76/32,349.94
  6. Step 6: Final answer
    x = 75,891.44

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.