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Finding the Third Proportional to 4,612 and 9,361

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Solution

The third proportional to 4,612 and 9,361 is: 19,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612 : 9,361 = 9,361 : x
  2. Step 2: Convert to fraction form
    4,612/9,361 = 9,361/x
  3. Step 3: Cross multiply
    4,612x = 9,361 × 9,361
  4. Step 4: Simplify right side
    4,612x = 87,628,321
  5. Step 5: Solve for x
    x = 87,628,321/4,612
  6. Step 6: Final answer
    x = 19,000.07

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.