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Finding the Third Proportional to 6,383.81 and 9,537.19

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Solution

The third proportional to 6,383.81 and 9,537.19 is: 14,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.81 : 9,537.19 = 9,537.19 : x
  2. Step 2: Convert to fraction form
    6,383.81/9,537.19 = 9,537.19/x
  3. Step 3: Cross multiply
    6,383.81x = 9,537.19 × 9,537.19
  4. Step 4: Simplify right side
    6,383.81x = 90,957,945.41
  5. Step 5: Solve for x
    x = 90,957,945.41/6,383.81
  6. Step 6: Final answer
    x = 14,248.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.