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Finding the Third Proportional to 5,936.63 and 9,400.31

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Solution

The third proportional to 5,936.63 and 9,400.31 is: 14,884.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.63 : 9,400.31 = 9,400.31 : x
  2. Step 2: Convert to fraction form
    5,936.63/9,400.31 = 9,400.31/x
  3. Step 3: Cross multiply
    5,936.63x = 9,400.31 × 9,400.31
  4. Step 4: Simplify right side
    5,936.63x = 88,365,875.10
  5. Step 5: Solve for x
    x = 88,365,875.10/5,936.63
  6. Step 6: Final answer
    x = 14,884.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.