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Finding the Third Proportional to 12,143.25 and 25,058.25

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Solution

The third proportional to 12,143.25 and 25,058.25 is: 51,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.25 : 25,058.25 = 25,058.25 : x
  2. Step 2: Convert to fraction form
    12,143.25/25,058.25 = 25,058.25/x
  3. Step 3: Cross multiply
    12,143.25x = 25,058.25 × 25,058.25
  4. Step 4: Simplify right side
    12,143.25x = 627,915,893.06
  5. Step 5: Solve for x
    x = 627,915,893.06/12,143.25
  6. Step 6: Final answer
    x = 51,709.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.