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Finding the Third Proportional to 20,127.23 and 45,625.78

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Solution

The third proportional to 20,127.23 and 45,625.78 is: 103,427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,127.23 : 45,625.78 = 45,625.78 : x
  2. Step 2: Convert to fraction form
    20,127.23/45,625.78 = 45,625.78/x
  3. Step 3: Cross multiply
    20,127.23x = 45,625.78 × 45,625.78
  4. Step 4: Simplify right side
    20,127.23x = 2,081,711,914.67
  5. Step 5: Solve for x
    x = 2,081,711,914.67/20,127.23
  6. Step 6: Final answer
    x = 103,427.62

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.