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Finding the Third Proportional to 10,436 and 22,237

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Solution

The third proportional to 10,436 and 22,237 is: 47,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436 : 22,237 = 22,237 : x
  2. Step 2: Convert to fraction form
    10,436/22,237 = 22,237/x
  3. Step 3: Cross multiply
    10,436x = 22,237 × 22,237
  4. Step 4: Simplify right side
    10,436x = 494,484,169
  5. Step 5: Solve for x
    x = 494,484,169/10,436
  6. Step 6: Final answer
    x = 47,382.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.