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Finding the Third Proportional to 21,529.75 and 31,443.75

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Solution

The third proportional to 21,529.75 and 31,443.75 is: 45,922.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,529.75 : 31,443.75 = 31,443.75 : x
  2. Step 2: Convert to fraction form
    21,529.75/31,443.75 = 31,443.75/x
  3. Step 3: Cross multiply
    21,529.75x = 31,443.75 × 31,443.75
  4. Step 4: Simplify right side
    21,529.75x = 988,709,414.06
  5. Step 5: Solve for x
    x = 988,709,414.06/21,529.75
  6. Step 6: Final answer
    x = 45,922.94

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.