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Finding the Third Proportional to 19,487.25 and 31,007.25

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Solution

The third proportional to 19,487.25 and 31,007.25 is: 49,337.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,487.25 : 31,007.25 = 31,007.25 : x
  2. Step 2: Convert to fraction form
    19,487.25/31,007.25 = 31,007.25/x
  3. Step 3: Cross multiply
    19,487.25x = 31,007.25 × 31,007.25
  4. Step 4: Simplify right side
    19,487.25x = 961,449,552.56
  5. Step 5: Solve for x
    x = 961,449,552.56/19,487.25
  6. Step 6: Final answer
    x = 49,337.36

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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.