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Finding the Third Proportional to 20,123.25 and 29,946.75

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Solution

The third proportional to 20,123.25 and 29,946.75 is: 44,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123.25 : 29,946.75 = 29,946.75 : x
  2. Step 2: Convert to fraction form
    20,123.25/29,946.75 = 29,946.75/x
  3. Step 3: Cross multiply
    20,123.25x = 29,946.75 × 29,946.75
  4. Step 4: Simplify right side
    20,123.25x = 896,807,835.56
  5. Step 5: Solve for x
    x = 896,807,835.56/20,123.25
  6. Step 6: Final answer
    x = 44,565.76

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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.