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Finding the Third Proportional to 22,020 and 31,376.25

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Solution

The third proportional to 22,020 and 31,376.25 is: 44,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,020 : 31,376.25 = 31,376.25 : x
  2. Step 2: Convert to fraction form
    22,020/31,376.25 = 31,376.25/x
  3. Step 3: Cross multiply
    22,020x = 31,376.25 × 31,376.25
  4. Step 4: Simplify right side
    22,020x = 984,469,064.06
  5. Step 5: Solve for x
    x = 984,469,064.06/22,020
  6. Step 6: Final answer
    x = 44,707.95

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.