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Finding the Third Proportional to 9,502 and 13,686

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Solution

The third proportional to 9,502 and 13,686 is: 19,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502 : 13,686 = 13,686 : x
  2. Step 2: Convert to fraction form
    9,502/13,686 = 13,686/x
  3. Step 3: Cross multiply
    9,502x = 13,686 × 13,686
  4. Step 4: Simplify right side
    9,502x = 187,306,596
  5. Step 5: Solve for x
    x = 187,306,596/9,502
  6. Step 6: Final answer
    x = 19,712.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.