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Finding the Third Proportional to 19,441.31 and 31,008.19

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Solution

The third proportional to 19,441.31 and 31,008.19 is: 49,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,441.31 : 31,008.19 = 31,008.19 : x
  2. Step 2: Convert to fraction form
    19,441.31/31,008.19 = 31,008.19/x
  3. Step 3: Cross multiply
    19,441.31x = 31,008.19 × 31,008.19
  4. Step 4: Simplify right side
    19,441.31x = 961,507,692.04
  5. Step 5: Solve for x
    x = 961,507,692.04/19,441.31
  6. Step 6: Final answer
    x = 49,456.93

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.