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Finding the Third Proportional to 22,896 and 31,804

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Solution

The third proportional to 22,896 and 31,804 is: 44,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896 : 31,804 = 31,804 : x
  2. Step 2: Convert to fraction form
    22,896/31,804 = 31,804/x
  3. Step 3: Cross multiply
    22,896x = 31,804 × 31,804
  4. Step 4: Simplify right side
    22,896x = 1,011,494,416
  5. Step 5: Solve for x
    x = 1,011,494,416/22,896
  6. Step 6: Final answer
    x = 44,177.78

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.