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Finding the Third Proportional to 27,401 and 59,875

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Solution

The third proportional to 27,401 and 59,875 is: 130,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,401 : 59,875 = 59,875 : x
  2. Step 2: Convert to fraction form
    27,401/59,875 = 59,875/x
  3. Step 3: Cross multiply
    27,401x = 59,875 × 59,875
  4. Step 4: Simplify right side
    27,401x = 3,585,015,625
  5. Step 5: Solve for x
    x = 3,585,015,625/27,401
  6. Step 6: Final answer
    x = 130,835.21

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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.