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Finding the Third Proportional to 2,089 and 4,591

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Solution

The third proportional to 2,089 and 4,591 is: 10,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089 : 4,591 = 4,591 : x
  2. Step 2: Convert to fraction form
    2,089/4,591 = 4,591/x
  3. Step 3: Cross multiply
    2,089x = 4,591 × 4,591
  4. Step 4: Simplify right side
    2,089x = 21,077,281
  5. Step 5: Solve for x
    x = 21,077,281/2,089
  6. Step 6: Final answer
    x = 10,089.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.