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Finding the Third Proportional to 10,396 and 22,264

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Solution

The third proportional to 10,396 and 22,264 is: 47,680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396 : 22,264 = 22,264 : x
  2. Step 2: Convert to fraction form
    10,396/22,264 = 22,264/x
  3. Step 3: Cross multiply
    10,396x = 22,264 × 22,264
  4. Step 4: Simplify right side
    10,396x = 495,685,696
  5. Step 5: Solve for x
    x = 495,685,696/10,396
  6. Step 6: Final answer
    x = 47,680.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.