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Finding the Third Proportional to 2,144 and 4,582

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Solution

The third proportional to 2,144 and 4,582 is: 9,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144 : 4,582 = 4,582 : x
  2. Step 2: Convert to fraction form
    2,144/4,582 = 4,582/x
  3. Step 3: Cross multiply
    2,144x = 4,582 × 4,582
  4. Step 4: Simplify right side
    2,144x = 20,994,724
  5. Step 5: Solve for x
    x = 20,994,724/2,144
  6. Step 6: Final answer
    x = 9,792.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.