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Finding the Third Proportional to 19,480 and 21,976

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Solution

The third proportional to 19,480 and 21,976 is: 24,791.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,480 : 21,976 = 21,976 : x
  2. Step 2: Convert to fraction form
    19,480/21,976 = 21,976/x
  3. Step 3: Cross multiply
    19,480x = 21,976 × 21,976
  4. Step 4: Simplify right side
    19,480x = 482,944,576
  5. Step 5: Solve for x
    x = 482,944,576/19,480
  6. Step 6: Final answer
    x = 24,791.82

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.