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Finding the Third Proportional to 21,723.75 and 33,582.75

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Solution

The third proportional to 21,723.75 and 33,582.75 is: 51,915.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,723.75 : 33,582.75 = 33,582.75 : x
  2. Step 2: Convert to fraction form
    21,723.75/33,582.75 = 33,582.75/x
  3. Step 3: Cross multiply
    21,723.75x = 33,582.75 × 33,582.75
  4. Step 4: Simplify right side
    21,723.75x = 1,127,801,097.56
  5. Step 5: Solve for x
    x = 1,127,801,097.56/21,723.75
  6. Step 6: Final answer
    x = 51,915.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.