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Finding the Third Proportional to 32,239.13 and 49,284.56

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Solution

The third proportional to 32,239.13 and 49,284.56 is: 75,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,239.13 : 49,284.56 = 49,284.56 : x
  2. Step 2: Convert to fraction form
    32,239.13/49,284.56 = 49,284.56/x
  3. Step 3: Cross multiply
    32,239.13x = 49,284.56 × 49,284.56
  4. Step 4: Simplify right side
    32,239.13x = 2,428,968,100.82
  5. Step 5: Solve for x
    x = 2,428,968,100.82/32,239.13
  6. Step 6: Final answer
    x = 75,342.25

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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.