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Finding the Third Proportional to 9,646 and 14,927

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Solution

The third proportional to 9,646 and 14,927 is: 23,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646 : 14,927 = 14,927 : x
  2. Step 2: Convert to fraction form
    9,646/14,927 = 14,927/x
  3. Step 3: Cross multiply
    9,646x = 14,927 × 14,927
  4. Step 4: Simplify right side
    9,646x = 222,815,329
  5. Step 5: Solve for x
    x = 222,815,329/9,646
  6. Step 6: Final answer
    x = 23,099.25

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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.