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Finding the Third Proportional to 3,927.66 and 8,533.69

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Solution

The third proportional to 3,927.66 and 8,533.69 is: 18,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.66 : 8,533.69 = 8,533.69 : x
  2. Step 2: Convert to fraction form
    3,927.66/8,533.69 = 8,533.69/x
  3. Step 3: Cross multiply
    3,927.66x = 8,533.69 × 8,533.69
  4. Step 4: Simplify right side
    3,927.66x = 72,823,822.35
  5. Step 5: Solve for x
    x = 72,823,822.35/3,927.66
  6. Step 6: Final answer
    x = 18,541.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.