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Finding the Third Proportional to 11,417 and 17,707

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Solution

The third proportional to 11,417 and 17,707 is: 27,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417 : 17,707 = 17,707 : x
  2. Step 2: Convert to fraction form
    11,417/17,707 = 17,707/x
  3. Step 3: Cross multiply
    11,417x = 17,707 × 17,707
  4. Step 4: Simplify right side
    11,417x = 313,537,849
  5. Step 5: Solve for x
    x = 313,537,849/11,417
  6. Step 6: Final answer
    x = 27,462.37

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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.