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Finding the Third Proportional to 10,132 and 21,182

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Solution

The third proportional to 10,132 and 21,182 is: 44,283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132 : 21,182 = 21,182 : x
  2. Step 2: Convert to fraction form
    10,132/21,182 = 21,182/x
  3. Step 3: Cross multiply
    10,132x = 21,182 × 21,182
  4. Step 4: Simplify right side
    10,132x = 448,677,124
  5. Step 5: Solve for x
    x = 448,677,124/10,132
  6. Step 6: Final answer
    x = 44,283.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.