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Finding the Third Proportional to 13,702.92 and 27,217.90

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Solution

The third proportional to 13,702.92 and 27,217.90 is: 54,062.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.92 : 27,217.90 = 27,217.90 : x
  2. Step 2: Convert to fraction form
    13,702.92/27,217.90 = 27,217.90/x
  3. Step 3: Cross multiply
    13,702.92x = 27,217.90 × 27,217.90
  4. Step 4: Simplify right side
    13,702.92x = 740,813,995.35
  5. Step 5: Solve for x
    x = 740,813,995.35/13,702.92
  6. Step 6: Final answer
    x = 54,062.48

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.