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Finding the Third Proportional to 27,526 and 41,351

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Solution

The third proportional to 27,526 and 41,351 is: 62,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,526 : 41,351 = 41,351 : x
  2. Step 2: Convert to fraction form
    27,526/41,351 = 41,351/x
  3. Step 3: Cross multiply
    27,526x = 41,351 × 41,351
  4. Step 4: Simplify right side
    27,526x = 1,709,905,201
  5. Step 5: Solve for x
    x = 1,709,905,201/27,526
  6. Step 6: Final answer
    x = 62,119.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.