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Finding the Third Proportional to 14,024.25 and 30,963.38

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Solution

The third proportional to 14,024.25 and 30,963.38 is: 68,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.25 : 30,963.38 = 30,963.38 : x
  2. Step 2: Convert to fraction form
    14,024.25/30,963.38 = 30,963.38/x
  3. Step 3: Cross multiply
    14,024.25x = 30,963.38 × 30,963.38
  4. Step 4: Simplify right side
    14,024.25x = 958,730,591.39
  5. Step 5: Solve for x
    x = 958,730,591.39/14,024.25
  6. Step 6: Final answer
    x = 68,362.34

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.