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Finding the Third Proportional to 20,398.50 and 42,356.25

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Solution

The third proportional to 20,398.50 and 42,356.25 is: 87,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,398.50 : 42,356.25 = 42,356.25 : x
  2. Step 2: Convert to fraction form
    20,398.50/42,356.25 = 42,356.25/x
  3. Step 3: Cross multiply
    20,398.50x = 42,356.25 × 42,356.25
  4. Step 4: Simplify right side
    20,398.50x = 1,794,051,914.06
  5. Step 5: Solve for x
    x = 1,794,051,914.06/20,398.50
  6. Step 6: Final answer
    x = 87,950.19

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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.