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Finding the Third Proportional to 6,745.78 and 9,936.28

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Solution

The third proportional to 6,745.78 and 9,936.28 is: 14,635.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.78 : 9,936.28 = 9,936.28 : x
  2. Step 2: Convert to fraction form
    6,745.78/9,936.28 = 9,936.28/x
  3. Step 3: Cross multiply
    6,745.78x = 9,936.28 × 9,936.28
  4. Step 4: Simplify right side
    6,745.78x = 98,729,685.08
  5. Step 5: Solve for x
    x = 98,729,685.08/6,745.78
  6. Step 6: Final answer
    x = 14,635.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.