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Finding the Third Proportional to 9,767 and 21,433

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Solution

The third proportional to 9,767 and 21,433 is: 47,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767 : 21,433 = 21,433 : x
  2. Step 2: Convert to fraction form
    9,767/21,433 = 21,433/x
  3. Step 3: Cross multiply
    9,767x = 21,433 × 21,433
  4. Step 4: Simplify right side
    9,767x = 459,373,489
  5. Step 5: Solve for x
    x = 459,373,489/9,767
  6. Step 6: Final answer
    x = 47,033.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.