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Finding the Third Proportional to 10,440.56 and 21,906.28

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Solution

The third proportional to 10,440.56 and 21,906.28 is: 45,963.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.56 : 21,906.28 = 21,906.28 : x
  2. Step 2: Convert to fraction form
    10,440.56/21,906.28 = 21,906.28/x
  3. Step 3: Cross multiply
    10,440.56x = 21,906.28 × 21,906.28
  4. Step 4: Simplify right side
    10,440.56x = 479,885,158.20
  5. Step 5: Solve for x
    x = 479,885,158.20/10,440.56
  6. Step 6: Final answer
    x = 45,963.53

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.