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Finding the Third Proportional to 17,838 and 24,928.50

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Solution

The third proportional to 17,838 and 24,928.50 is: 34,837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838 : 24,928.50 = 24,928.50 : x
  2. Step 2: Convert to fraction form
    17,838/24,928.50 = 24,928.50/x
  3. Step 3: Cross multiply
    17,838x = 24,928.50 × 24,928.50
  4. Step 4: Simplify right side
    17,838x = 621,430,112.25
  5. Step 5: Solve for x
    x = 621,430,112.25/17,838
  6. Step 6: Final answer
    x = 34,837.43

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.