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Finding the Third Proportional to 6,734.39 and 10,693.90

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Solution

The third proportional to 6,734.39 and 10,693.90 is: 16,981.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.39 : 10,693.90 = 10,693.90 : x
  2. Step 2: Convert to fraction form
    6,734.39/10,693.90 = 10,693.90/x
  3. Step 3: Cross multiply
    6,734.39x = 10,693.90 × 10,693.90
  4. Step 4: Simplify right side
    6,734.39x = 114,359,463.79
  5. Step 5: Solve for x
    x = 114,359,463.79/6,734.39
  6. Step 6: Final answer
    x = 16,981.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.