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Finding the Third Proportional to 4,596.75 and 8,614.69

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Solution

The third proportional to 4,596.75 and 8,614.69 is: 16,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.75 : 8,614.69 = 8,614.69 : x
  2. Step 2: Convert to fraction form
    4,596.75/8,614.69 = 8,614.69/x
  3. Step 3: Cross multiply
    4,596.75x = 8,614.69 × 8,614.69
  4. Step 4: Simplify right side
    4,596.75x = 74,212,840.72
  5. Step 5: Solve for x
    x = 74,212,840.72/4,596.75
  6. Step 6: Final answer
    x = 16,144.63

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.