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Finding the Third Proportional to 15,529 and 21,953

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Solution

The third proportional to 15,529 and 21,953 is: 31,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,529 : 21,953 = 21,953 : x
  2. Step 2: Convert to fraction form
    15,529/21,953 = 21,953/x
  3. Step 3: Cross multiply
    15,529x = 21,953 × 21,953
  4. Step 4: Simplify right side
    15,529x = 481,934,209
  5. Step 5: Solve for x
    x = 481,934,209/15,529
  6. Step 6: Final answer
    x = 31,034.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.