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Finding the Third Proportional to 13,329 and 22,213

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Solution

The third proportional to 13,329 and 22,213 is: 37,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,329 : 22,213 = 22,213 : x
  2. Step 2: Convert to fraction form
    13,329/22,213 = 22,213/x
  3. Step 3: Cross multiply
    13,329x = 22,213 × 22,213
  4. Step 4: Simplify right side
    13,329x = 493,417,369
  5. Step 5: Solve for x
    x = 493,417,369/13,329
  6. Step 6: Final answer
    x = 37,018.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.