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Finding the Third Proportional to 6,374.81 and 9,846.56

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Solution

The third proportional to 6,374.81 and 9,846.56 is: 15,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.81 : 9,846.56 = 9,846.56 : x
  2. Step 2: Convert to fraction form
    6,374.81/9,846.56 = 9,846.56/x
  3. Step 3: Cross multiply
    6,374.81x = 9,846.56 × 9,846.56
  4. Step 4: Simplify right side
    6,374.81x = 96,954,793.07
  5. Step 5: Solve for x
    x = 96,954,793.07/6,374.81
  6. Step 6: Final answer
    x = 15,209.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.