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Finding the Third Proportional to 32,325 and 49,668.75

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Solution

The third proportional to 32,325 and 49,668.75 is: 76,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,325 : 49,668.75 = 49,668.75 : x
  2. Step 2: Convert to fraction form
    32,325/49,668.75 = 49,668.75/x
  3. Step 3: Cross multiply
    32,325x = 49,668.75 × 49,668.75
  4. Step 4: Simplify right side
    32,325x = 2,466,984,726.56
  5. Step 5: Solve for x
    x = 2,466,984,726.56/32,325
  6. Step 6: Final answer
    x = 76,318.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.