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Finding the Third Proportional to 10,121 and 21,342.25

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Solution

The third proportional to 10,121 and 21,342.25 is: 45,004.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121 : 21,342.25 = 21,342.25 : x
  2. Step 2: Convert to fraction form
    10,121/21,342.25 = 21,342.25/x
  3. Step 3: Cross multiply
    10,121x = 21,342.25 × 21,342.25
  4. Step 4: Simplify right side
    10,121x = 455,491,635.06
  5. Step 5: Solve for x
    x = 455,491,635.06/10,121
  6. Step 6: Final answer
    x = 45,004.61

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.