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Finding the Third Proportional to 6,743.25 and 13,901.63

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Solution

The third proportional to 6,743.25 and 13,901.63 is: 28,659.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.25 : 13,901.63 = 13,901.63 : x
  2. Step 2: Convert to fraction form
    6,743.25/13,901.63 = 13,901.63/x
  3. Step 3: Cross multiply
    6,743.25x = 13,901.63 × 13,901.63
  4. Step 4: Simplify right side
    6,743.25x = 193,255,177.64
  5. Step 5: Solve for x
    x = 193,255,177.64/6,743.25
  6. Step 6: Final answer
    x = 28,659.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.