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Finding the Third Proportional to 20,908.50 and 50,569.50

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Solution

The third proportional to 20,908.50 and 50,569.50 is: 122,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,908.50 : 50,569.50 = 50,569.50 : x
  2. Step 2: Convert to fraction form
    20,908.50/50,569.50 = 50,569.50/x
  3. Step 3: Cross multiply
    20,908.50x = 50,569.50 × 50,569.50
  4. Step 4: Simplify right side
    20,908.50x = 2,557,274,330.25
  5. Step 5: Solve for x
    x = 2,557,274,330.25/20,908.50
  6. Step 6: Final answer
    x = 122,307.88

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.