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Finding the Third Proportional to 10,961 and 16,953

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Solution

The third proportional to 10,961 and 16,953 is: 26,220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961 : 16,953 = 16,953 : x
  2. Step 2: Convert to fraction form
    10,961/16,953 = 16,953/x
  3. Step 3: Cross multiply
    10,961x = 16,953 × 16,953
  4. Step 4: Simplify right side
    10,961x = 287,404,209
  5. Step 5: Solve for x
    x = 287,404,209/10,961
  6. Step 6: Final answer
    x = 26,220.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.