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Finding the Third Proportional to 21,110 and 45,568

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Solution

The third proportional to 21,110 and 45,568 is: 98,362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,110 : 45,568 = 45,568 : x
  2. Step 2: Convert to fraction form
    21,110/45,568 = 45,568/x
  3. Step 3: Cross multiply
    21,110x = 45,568 × 45,568
  4. Step 4: Simplify right side
    21,110x = 2,076,442,624
  5. Step 5: Solve for x
    x = 2,076,442,624/21,110
  6. Step 6: Final answer
    x = 98,362.99

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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.