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Finding the Third Proportional to 6,738.19 and 9,423.84

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Solution

The third proportional to 6,738.19 and 9,423.84 is: 13,179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.19 : 9,423.84 = 9,423.84 : x
  2. Step 2: Convert to fraction form
    6,738.19/9,423.84 = 9,423.84/x
  3. Step 3: Cross multiply
    6,738.19x = 9,423.84 × 9,423.84
  4. Step 4: Simplify right side
    6,738.19x = 88,808,831.02
  5. Step 5: Solve for x
    x = 88,808,831.02/6,738.19
  6. Step 6: Final answer
    x = 13,179.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.