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Finding the Third Proportional to 4,612 and 9,992

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Solution

The third proportional to 4,612 and 9,992 is: 21,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612 : 9,992 = 9,992 : x
  2. Step 2: Convert to fraction form
    4,612/9,992 = 9,992/x
  3. Step 3: Cross multiply
    4,612x = 9,992 × 9,992
  4. Step 4: Simplify right side
    4,612x = 99,840,064
  5. Step 5: Solve for x
    x = 99,840,064/4,612
  6. Step 6: Final answer
    x = 21,647.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.