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Finding the Third Proportional to 6,809.81 and 10,412.72

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Solution

The third proportional to 6,809.81 and 10,412.72 is: 15,921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.81 : 10,412.72 = 10,412.72 : x
  2. Step 2: Convert to fraction form
    6,809.81/10,412.72 = 10,412.72/x
  3. Step 3: Cross multiply
    6,809.81x = 10,412.72 × 10,412.72
  4. Step 4: Simplify right side
    6,809.81x = 108,424,711.77
  5. Step 5: Solve for x
    x = 108,424,711.77/6,809.81
  6. Step 6: Final answer
    x = 15,921.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.