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Finding the Third Proportional to 6,702.19 and 9,939.09

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Solution

The third proportional to 6,702.19 and 9,939.09 is: 14,739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.19 : 9,939.09 = 9,939.09 : x
  2. Step 2: Convert to fraction form
    6,702.19/9,939.09 = 9,939.09/x
  3. Step 3: Cross multiply
    6,702.19x = 9,939.09 × 9,939.09
  4. Step 4: Simplify right side
    6,702.19x = 98,785,584.57
  5. Step 5: Solve for x
    x = 98,785,584.57/6,702.19
  6. Step 6: Final answer
    x = 14,739.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.