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Finding the Third Proportional to 4,471.71 and 6,583.43

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Solution

The third proportional to 4,471.71 and 6,583.43 is: 9,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.71 : 6,583.43 = 6,583.43 : x
  2. Step 2: Convert to fraction form
    4,471.71/6,583.43 = 6,583.43/x
  3. Step 3: Cross multiply
    4,471.71x = 6,583.43 × 6,583.43
  4. Step 4: Simplify right side
    4,471.71x = 43,341,488.59
  5. Step 5: Solve for x
    x = 43,341,488.59/4,471.71
  6. Step 6: Final answer
    x = 9,692.37

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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.