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Finding the Third Proportional to 5,957 and 12,643

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Solution

The third proportional to 5,957 and 12,643 is: 26,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957 : 12,643 = 12,643 : x
  2. Step 2: Convert to fraction form
    5,957/12,643 = 12,643/x
  3. Step 3: Cross multiply
    5,957x = 12,643 × 12,643
  4. Step 4: Simplify right side
    5,957x = 159,845,449
  5. Step 5: Solve for x
    x = 159,845,449/5,957
  6. Step 6: Final answer
    x = 26,833.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.