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Finding the Third Proportional to 12,413 and 27,013

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Solution

The third proportional to 12,413 and 27,013 is: 58,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413 : 27,013 = 27,013 : x
  2. Step 2: Convert to fraction form
    12,413/27,013 = 27,013/x
  3. Step 3: Cross multiply
    12,413x = 27,013 × 27,013
  4. Step 4: Simplify right side
    12,413x = 729,702,169
  5. Step 5: Solve for x
    x = 729,702,169/12,413
  6. Step 6: Final answer
    x = 58,785.32

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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.