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Finding the Third Proportional to 5,884.31 and 8,246.81

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Solution

The third proportional to 5,884.31 and 8,246.81 is: 11,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.31 : 8,246.81 = 8,246.81 : x
  2. Step 2: Convert to fraction form
    5,884.31/8,246.81 = 8,246.81/x
  3. Step 3: Cross multiply
    5,884.31x = 8,246.81 × 8,246.81
  4. Step 4: Simplify right side
    5,884.31x = 68,009,916.41
  5. Step 5: Solve for x
    x = 68,009,916.41/5,884.31
  6. Step 6: Final answer
    x = 11,557.84

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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.