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Finding the Third Proportional to 9,951 and 21,456

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Solution

The third proportional to 9,951 and 21,456 is: 46,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951 : 21,456 = 21,456 : x
  2. Step 2: Convert to fraction form
    9,951/21,456 = 21,456/x
  3. Step 3: Cross multiply
    9,951x = 21,456 × 21,456
  4. Step 4: Simplify right side
    9,951x = 460,359,936
  5. Step 5: Solve for x
    x = 460,359,936/9,951
  6. Step 6: Final answer
    x = 46,262.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.