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Finding the Third Proportional to 3,413 and 7,169

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Solution

The third proportional to 3,413 and 7,169 is: 15,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413 : 7,169 = 7,169 : x
  2. Step 2: Convert to fraction form
    3,413/7,169 = 7,169/x
  3. Step 3: Cross multiply
    3,413x = 7,169 × 7,169
  4. Step 4: Simplify right side
    3,413x = 51,394,561
  5. Step 5: Solve for x
    x = 51,394,561/3,413
  6. Step 6: Final answer
    x = 15,058.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.