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Finding the Third Proportional to 17,174 and 22,903

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Solution

The third proportional to 17,174 and 22,903 is: 30,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,174 : 22,903 = 22,903 : x
  2. Step 2: Convert to fraction form
    17,174/22,903 = 22,903/x
  3. Step 3: Cross multiply
    17,174x = 22,903 × 22,903
  4. Step 4: Simplify right side
    17,174x = 524,547,409
  5. Step 5: Solve for x
    x = 524,547,409/17,174
  6. Step 6: Final answer
    x = 30,543.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.