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Finding the Third Proportional to 6,923.81 and 10,979.72

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Solution

The third proportional to 6,923.81 and 10,979.72 is: 17,411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923.81 : 10,979.72 = 10,979.72 : x
  2. Step 2: Convert to fraction form
    6,923.81/10,979.72 = 10,979.72/x
  3. Step 3: Cross multiply
    6,923.81x = 10,979.72 × 10,979.72
  4. Step 4: Simplify right side
    6,923.81x = 120,554,223.83
  5. Step 5: Solve for x
    x = 120,554,223.83/6,923.81
  6. Step 6: Final answer
    x = 17,411.54

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