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Finding the Third Proportional to 20,107.50 and 42,483

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Solution

The third proportional to 20,107.50 and 42,483 is: 89,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.50 : 42,483 = 42,483 : x
  2. Step 2: Convert to fraction form
    20,107.50/42,483 = 42,483/x
  3. Step 3: Cross multiply
    20,107.50x = 42,483 × 42,483
  4. Step 4: Simplify right side
    20,107.50x = 1,804,805,289
  5. Step 5: Solve for x
    x = 1,804,805,289/20,107.50
  6. Step 6: Final answer
    x = 89,757.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.