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Finding the Third Proportional to 4,590.42 and 6,122.46

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Solution

The third proportional to 4,590.42 and 6,122.46 is: 8,165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.42 : 6,122.46 = 6,122.46 : x
  2. Step 2: Convert to fraction form
    4,590.42/6,122.46 = 6,122.46/x
  3. Step 3: Cross multiply
    4,590.42x = 6,122.46 × 6,122.46
  4. Step 4: Simplify right side
    4,590.42x = 37,484,527.93
  5. Step 5: Solve for x
    x = 37,484,527.93/4,590.42
  6. Step 6: Final answer
    x = 8,165.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.