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Finding the Third Proportional to 12,025 and 27,838

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Solution

The third proportional to 12,025 and 27,838 is: 64,445.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025 : 27,838 = 27,838 : x
  2. Step 2: Convert to fraction form
    12,025/27,838 = 27,838/x
  3. Step 3: Cross multiply
    12,025x = 27,838 × 27,838
  4. Step 4: Simplify right side
    12,025x = 774,954,244
  5. Step 5: Solve for x
    x = 774,954,244/12,025
  6. Step 6: Final answer
    x = 64,445.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.