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Finding the Third Proportional to 32,749.31 and 51,328.69

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Solution

The third proportional to 32,749.31 and 51,328.69 is: 80,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,749.31 : 51,328.69 = 51,328.69 : x
  2. Step 2: Convert to fraction form
    32,749.31/51,328.69 = 51,328.69/x
  3. Step 3: Cross multiply
    32,749.31x = 51,328.69 × 51,328.69
  4. Step 4: Simplify right side
    32,749.31x = 2,634,634,160.47
  5. Step 5: Solve for x
    x = 2,634,634,160.47/32,749.31
  6. Step 6: Final answer
    x = 80,448.53

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.