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Finding the Third Proportional to 2,134.50 and 4,643

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Solution

The third proportional to 2,134.50 and 4,643 is: 10,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.50 : 4,643 = 4,643 : x
  2. Step 2: Convert to fraction form
    2,134.50/4,643 = 4,643/x
  3. Step 3: Cross multiply
    2,134.50x = 4,643 × 4,643
  4. Step 4: Simplify right side
    2,134.50x = 21,557,449
  5. Step 5: Solve for x
    x = 21,557,449/2,134.50
  6. Step 6: Final answer
    x = 10,099.53

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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.