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Finding the Third Proportional to 2,089 and 4,549

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Solution

The third proportional to 2,089 and 4,549 is: 9,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089 : 4,549 = 4,549 : x
  2. Step 2: Convert to fraction form
    2,089/4,549 = 4,549/x
  3. Step 3: Cross multiply
    2,089x = 4,549 × 4,549
  4. Step 4: Simplify right side
    2,089x = 20,693,401
  5. Step 5: Solve for x
    x = 20,693,401/2,089
  6. Step 6: Final answer
    x = 9,905.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.