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Finding the Third Proportional to 6,737.63 and 10,938.75

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Solution

The third proportional to 6,737.63 and 10,938.75 is: 17,759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.63 : 10,938.75 = 10,938.75 : x
  2. Step 2: Convert to fraction form
    6,737.63/10,938.75 = 10,938.75/x
  3. Step 3: Cross multiply
    6,737.63x = 10,938.75 × 10,938.75
  4. Step 4: Simplify right side
    6,737.63x = 119,656,251.56
  5. Step 5: Solve for x
    x = 119,656,251.56/6,737.63
  6. Step 6: Final answer
    x = 17,759.41

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.