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Finding the Third Proportional to 20,371.50 and 42,368.06

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Solution

The third proportional to 20,371.50 and 42,368.06 is: 88,115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,371.50 : 42,368.06 = 42,368.06 : x
  2. Step 2: Convert to fraction form
    20,371.50/42,368.06 = 42,368.06/x
  3. Step 3: Cross multiply
    20,371.50x = 42,368.06 × 42,368.06
  4. Step 4: Simplify right side
    20,371.50x = 1,795,052,720.00
  5. Step 5: Solve for x
    x = 1,795,052,720.00/20,371.50
  6. Step 6: Final answer
    x = 88,115.88

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.