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Finding the Third Proportional to 10,510 and 22,302

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Solution

The third proportional to 10,510 and 22,302 is: 47,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510 : 22,302 = 22,302 : x
  2. Step 2: Convert to fraction form
    10,510/22,302 = 22,302/x
  3. Step 3: Cross multiply
    10,510x = 22,302 × 22,302
  4. Step 4: Simplify right side
    10,510x = 497,379,204
  5. Step 5: Solve for x
    x = 497,379,204/10,510
  6. Step 6: Final answer
    x = 47,324.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.