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Finding the Third Proportional to 6,817.50 and 14,936.63

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Solution

The third proportional to 6,817.50 and 14,936.63 is: 32,725.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.50 : 14,936.63 = 14,936.63 : x
  2. Step 2: Convert to fraction form
    6,817.50/14,936.63 = 14,936.63/x
  3. Step 3: Cross multiply
    6,817.50x = 14,936.63 × 14,936.63
  4. Step 4: Simplify right side
    6,817.50x = 223,102,766.39
  5. Step 5: Solve for x
    x = 223,102,766.39/6,817.50
  6. Step 6: Final answer
    x = 32,725.01

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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.