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Finding the Third Proportional to 6,838.88 and 14,963.63

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Solution

The third proportional to 6,838.88 and 14,963.63 is: 32,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.88 : 14,963.63 = 14,963.63 : x
  2. Step 2: Convert to fraction form
    6,838.88/14,963.63 = 14,963.63/x
  3. Step 3: Cross multiply
    6,838.88x = 14,963.63 × 14,963.63
  4. Step 4: Simplify right side
    6,838.88x = 223,910,073.14
  5. Step 5: Solve for x
    x = 223,910,073.14/6,838.88
  6. Step 6: Final answer
    x = 32,740.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.