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Finding the Third Proportional to 32,131.69 and 48,007.69

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Solution

The third proportional to 32,131.69 and 48,007.69 is: 71,727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,131.69 : 48,007.69 = 48,007.69 : x
  2. Step 2: Convert to fraction form
    32,131.69/48,007.69 = 48,007.69/x
  3. Step 3: Cross multiply
    32,131.69x = 48,007.69 × 48,007.69
  4. Step 4: Simplify right side
    32,131.69x = 2,304,738,059.10
  5. Step 5: Solve for x
    x = 2,304,738,059.10/32,131.69
  6. Step 6: Final answer
    x = 71,727.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.