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Finding the Third Proportional to 4,596 and 12,226

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Solution

The third proportional to 4,596 and 12,226 is: 32,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596 : 12,226 = 12,226 : x
  2. Step 2: Convert to fraction form
    4,596/12,226 = 12,226/x
  3. Step 3: Cross multiply
    4,596x = 12,226 × 12,226
  4. Step 4: Simplify right side
    4,596x = 149,475,076
  5. Step 5: Solve for x
    x = 149,475,076/4,596
  6. Step 6: Final answer
    x = 32,522.86

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.