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Finding the Third Proportional to 9,680 and 14,483

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Solution

The third proportional to 9,680 and 14,483 is: 21,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680 : 14,483 = 14,483 : x
  2. Step 2: Convert to fraction form
    9,680/14,483 = 14,483/x
  3. Step 3: Cross multiply
    9,680x = 14,483 × 14,483
  4. Step 4: Simplify right side
    9,680x = 209,757,289
  5. Step 5: Solve for x
    x = 209,757,289/9,680
  6. Step 6: Final answer
    x = 21,669.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.