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Finding the Third Proportional to 9,686 and 14,905

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Solution

The third proportional to 9,686 and 14,905 is: 22,936.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686 : 14,905 = 14,905 : x
  2. Step 2: Convert to fraction form
    9,686/14,905 = 14,905/x
  3. Step 3: Cross multiply
    9,686x = 14,905 × 14,905
  4. Step 4: Simplify right side
    9,686x = 222,159,025
  5. Step 5: Solve for x
    x = 222,159,025/9,686
  6. Step 6: Final answer
    x = 22,936.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.