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Finding the Third Proportional to 10,213 and 14,636

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Solution

The third proportional to 10,213 and 14,636 is: 20,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213 : 14,636 = 14,636 : x
  2. Step 2: Convert to fraction form
    10,213/14,636 = 14,636/x
  3. Step 3: Cross multiply
    10,213x = 14,636 × 14,636
  4. Step 4: Simplify right side
    10,213x = 214,212,496
  5. Step 5: Solve for x
    x = 214,212,496/10,213
  6. Step 6: Final answer
    x = 20,974.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.