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Finding the Third Proportional to 9,467 and 14,333

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Solution

The third proportional to 9,467 and 14,333 is: 21,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467 : 14,333 = 14,333 : x
  2. Step 2: Convert to fraction form
    9,467/14,333 = 14,333/x
  3. Step 3: Cross multiply
    9,467x = 14,333 × 14,333
  4. Step 4: Simplify right side
    9,467x = 205,434,889
  5. Step 5: Solve for x
    x = 205,434,889/9,467
  6. Step 6: Final answer
    x = 21,700.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.