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Finding the Third Proportional to 17,270 and 25,953

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Solution

The third proportional to 17,270 and 25,953 is: 39,001.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,270 : 25,953 = 25,953 : x
  2. Step 2: Convert to fraction form
    17,270/25,953 = 25,953/x
  3. Step 3: Cross multiply
    17,270x = 25,953 × 25,953
  4. Step 4: Simplify right side
    17,270x = 673,558,209
  5. Step 5: Solve for x
    x = 673,558,209/17,270
  6. Step 6: Final answer
    x = 39,001.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.