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Finding the Third Proportional to 1,969 and 4,643

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Solution

The third proportional to 1,969 and 4,643 is: 10,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969 : 4,643 = 4,643 : x
  2. Step 2: Convert to fraction form
    1,969/4,643 = 4,643/x
  3. Step 3: Cross multiply
    1,969x = 4,643 × 4,643
  4. Step 4: Simplify right side
    1,969x = 21,557,449
  5. Step 5: Solve for x
    x = 21,557,449/1,969
  6. Step 6: Final answer
    x = 10,948.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.