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Finding the Third Proportional to 20,884.71 and 45,921.30

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Solution

The third proportional to 20,884.71 and 45,921.30 is: 100,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,884.71 : 45,921.30 = 45,921.30 : x
  2. Step 2: Convert to fraction form
    20,884.71/45,921.30 = 45,921.30/x
  3. Step 3: Cross multiply
    20,884.71x = 45,921.30 × 45,921.30
  4. Step 4: Simplify right side
    20,884.71x = 2,108,766,224.20
  5. Step 5: Solve for x
    x = 2,108,766,224.20/20,884.71
  6. Step 6: Final answer
    x = 100,971.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.