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Finding the Third Proportional to 12,415 and 27,201

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Solution

The third proportional to 12,415 and 27,201 is: 59,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415 : 27,201 = 27,201 : x
  2. Step 2: Convert to fraction form
    12,415/27,201 = 27,201/x
  3. Step 3: Cross multiply
    12,415x = 27,201 × 27,201
  4. Step 4: Simplify right side
    12,415x = 739,894,401
  5. Step 5: Solve for x
    x = 739,894,401/12,415
  6. Step 6: Final answer
    x = 59,596.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.