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Finding the Third Proportional to 12,410 and 27,009

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Solution

The third proportional to 12,410 and 27,009 is: 58,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410 : 27,009 = 27,009 : x
  2. Step 2: Convert to fraction form
    12,410/27,009 = 27,009/x
  3. Step 3: Cross multiply
    12,410x = 27,009 × 27,009
  4. Step 4: Simplify right side
    12,410x = 729,486,081
  5. Step 5: Solve for x
    x = 729,486,081/12,410
  6. Step 6: Final answer
    x = 58,782.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.