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Finding the Third Proportional to 6,269.29 and 9,173.19

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Solution

The third proportional to 6,269.29 and 9,173.19 is: 13,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.29 : 9,173.19 = 9,173.19 : x
  2. Step 2: Convert to fraction form
    6,269.29/9,173.19 = 9,173.19/x
  3. Step 3: Cross multiply
    6,269.29x = 9,173.19 × 9,173.19
  4. Step 4: Simplify right side
    6,269.29x = 84,147,427.14
  5. Step 5: Solve for x
    x = 84,147,427.14/6,269.29
  6. Step 6: Final answer
    x = 13,422.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.