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Finding the Third Proportional to 17,010 and 26,901

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Solution

The third proportional to 17,010 and 26,901 is: 42,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,010 : 26,901 = 26,901 : x
  2. Step 2: Convert to fraction form
    17,010/26,901 = 26,901/x
  3. Step 3: Cross multiply
    17,010x = 26,901 × 26,901
  4. Step 4: Simplify right side
    17,010x = 723,663,801
  5. Step 5: Solve for x
    x = 723,663,801/17,010
  6. Step 6: Final answer
    x = 42,543.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.