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Finding the Third Proportional to 20,027.25 and 42,643.13

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Solution

The third proportional to 20,027.25 and 42,643.13 is: 90,798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,027.25 : 42,643.13 = 42,643.13 : x
  2. Step 2: Convert to fraction form
    20,027.25/42,643.13 = 42,643.13/x
  3. Step 3: Cross multiply
    20,027.25x = 42,643.13 × 42,643.13
  4. Step 4: Simplify right side
    20,027.25x = 1,818,436,109.77
  5. Step 5: Solve for x
    x = 1,818,436,109.77/20,027.25
  6. Step 6: Final answer
    x = 90,798.09

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.