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Finding the Third Proportional to 10,250 and 17,013

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Solution

The third proportional to 10,250 and 17,013 is: 28,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,250 : 17,013 = 17,013 : x
  2. Step 2: Convert to fraction form
    10,250/17,013 = 17,013/x
  3. Step 3: Cross multiply
    10,250x = 17,013 × 17,013
  4. Step 4: Simplify right side
    10,250x = 289,442,169
  5. Step 5: Solve for x
    x = 289,442,169/10,250
  6. Step 6: Final answer
    x = 28,238.26

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.