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Finding the Third Proportional to 5,943.19 and 8,308.31

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Solution

The third proportional to 5,943.19 and 8,308.31 is: 11,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.19 : 8,308.31 = 8,308.31 : x
  2. Step 2: Convert to fraction form
    5,943.19/8,308.31 = 8,308.31/x
  3. Step 3: Cross multiply
    5,943.19x = 8,308.31 × 8,308.31
  4. Step 4: Simplify right side
    5,943.19x = 69,028,056.60
  5. Step 5: Solve for x
    x = 69,028,056.60/5,943.19
  6. Step 6: Final answer
    x = 11,614.65

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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.