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Finding the Third Proportional to 5,984 and 9,463

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Solution

The third proportional to 5,984 and 9,463 is: 14,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984 : 9,463 = 9,463 : x
  2. Step 2: Convert to fraction form
    5,984/9,463 = 9,463/x
  3. Step 3: Cross multiply
    5,984x = 9,463 × 9,463
  4. Step 4: Simplify right side
    5,984x = 89,548,369
  5. Step 5: Solve for x
    x = 89,548,369/5,984
  6. Step 6: Final answer
    x = 14,964.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.