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Finding the Third Proportional to 19,404 and 30,937.50

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Solution

The third proportional to 19,404 and 30,937.50 is: 49,326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,404 : 30,937.50 = 30,937.50 : x
  2. Step 2: Convert to fraction form
    19,404/30,937.50 = 30,937.50/x
  3. Step 3: Cross multiply
    19,404x = 30,937.50 × 30,937.50
  4. Step 4: Simplify right side
    19,404x = 957,128,906.25
  5. Step 5: Solve for x
    x = 957,128,906.25/19,404
  6. Step 6: Final answer
    x = 49,326.37

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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.