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Finding the Third Proportional to 10,105.66 and 21,258.64

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Solution

The third proportional to 10,105.66 and 21,258.64 is: 44,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.66 : 21,258.64 = 21,258.64 : x
  2. Step 2: Convert to fraction form
    10,105.66/21,258.64 = 21,258.64/x
  3. Step 3: Cross multiply
    10,105.66x = 21,258.64 × 21,258.64
  4. Step 4: Simplify right side
    10,105.66x = 451,929,936.17
  5. Step 5: Solve for x
    x = 451,929,936.17/10,105.66
  6. Step 6: Final answer
    x = 44,720.46

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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.