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Finding the Third Proportional to 6,206.06 and 8,681.25

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Solution

The third proportional to 6,206.06 and 8,681.25 is: 12,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.06 : 8,681.25 = 8,681.25 : x
  2. Step 2: Convert to fraction form
    6,206.06/8,681.25 = 8,681.25/x
  3. Step 3: Cross multiply
    6,206.06x = 8,681.25 × 8,681.25
  4. Step 4: Simplify right side
    6,206.06x = 75,364,101.56
  5. Step 5: Solve for x
    x = 75,364,101.56/6,206.06
  6. Step 6: Final answer
    x = 12,143.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.