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Finding the Third Proportional to 6,200 and 13,040

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Solution

The third proportional to 6,200 and 13,040 is: 27,426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200 : 13,040 = 13,040 : x
  2. Step 2: Convert to fraction form
    6,200/13,040 = 13,040/x
  3. Step 3: Cross multiply
    6,200x = 13,040 × 13,040
  4. Step 4: Simplify right side
    6,200x = 170,041,600
  5. Step 5: Solve for x
    x = 170,041,600/6,200
  6. Step 6: Final answer
    x = 27,426.06

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.