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Finding the Third Proportional to 5,023.27 and 6,607.99

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Solution

The third proportional to 5,023.27 and 6,607.99 is: 8,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023.27 : 6,607.99 = 6,607.99 : x
  2. Step 2: Convert to fraction form
    5,023.27/6,607.99 = 6,607.99/x
  3. Step 3: Cross multiply
    5,023.27x = 6,607.99 × 6,607.99
  4. Step 4: Simplify right side
    5,023.27x = 43,665,483.31
  5. Step 5: Solve for x
    x = 43,665,483.31/5,023.27
  6. Step 6: Final answer
    x = 8,692.65

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.