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Finding the Third Proportional to 9,767 and 14,468

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Solution

The third proportional to 9,767 and 14,468 is: 21,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767 : 14,468 = 14,468 : x
  2. Step 2: Convert to fraction form
    9,767/14,468 = 14,468/x
  3. Step 3: Cross multiply
    9,767x = 14,468 × 14,468
  4. Step 4: Simplify right side
    9,767x = 209,323,024
  5. Step 5: Solve for x
    x = 209,323,024/9,767
  6. Step 6: Final answer
    x = 21,431.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.