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Finding the Third Proportional to 32,064.75 and 49,357.69

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Solution

The third proportional to 32,064.75 and 49,357.69 is: 75,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,064.75 : 49,357.69 = 49,357.69 : x
  2. Step 2: Convert to fraction form
    32,064.75/49,357.69 = 49,357.69/x
  3. Step 3: Cross multiply
    32,064.75x = 49,357.69 × 49,357.69
  4. Step 4: Simplify right side
    32,064.75x = 2,436,181,315.35
  5. Step 5: Solve for x
    x = 2,436,181,315.35/32,064.75
  6. Step 6: Final answer
    x = 75,976.93

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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.