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Finding the Third Proportional to 2,119 and 4,659

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Solution

The third proportional to 2,119 and 4,659 is: 10,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119 : 4,659 = 4,659 : x
  2. Step 2: Convert to fraction form
    2,119/4,659 = 4,659/x
  3. Step 3: Cross multiply
    2,119x = 4,659 × 4,659
  4. Step 4: Simplify right side
    2,119x = 21,706,281
  5. Step 5: Solve for x
    x = 21,706,281/2,119
  6. Step 6: Final answer
    x = 10,243.64

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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.