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Finding the Third Proportional to 8,901.75 and 13,838.25

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Solution

The third proportional to 8,901.75 and 13,838.25 is: 21,512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,901.75 : 13,838.25 = 13,838.25 : x
  2. Step 2: Convert to fraction form
    8,901.75/13,838.25 = 13,838.25/x
  3. Step 3: Cross multiply
    8,901.75x = 13,838.25 × 13,838.25
  4. Step 4: Simplify right side
    8,901.75x = 191,497,163.06
  5. Step 5: Solve for x
    x = 191,497,163.06/8,901.75
  6. Step 6: Final answer
    x = 21,512.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.