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Finding the Third Proportional to 12,643 and 28,094

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Solution

The third proportional to 12,643 and 28,094 is: 62,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643 : 28,094 = 28,094 : x
  2. Step 2: Convert to fraction form
    12,643/28,094 = 28,094/x
  3. Step 3: Cross multiply
    12,643x = 28,094 × 28,094
  4. Step 4: Simplify right side
    12,643x = 789,272,836
  5. Step 5: Solve for x
    x = 789,272,836/12,643
  6. Step 6: Final answer
    x = 62,427.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.