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Finding the Third Proportional to 27,611 and 59,595

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Solution

The third proportional to 27,611 and 59,595 is: 128,628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,611 : 59,595 = 59,595 : x
  2. Step 2: Convert to fraction form
    27,611/59,595 = 59,595/x
  3. Step 3: Cross multiply
    27,611x = 59,595 × 59,595
  4. Step 4: Simplify right side
    27,611x = 3,551,564,025
  5. Step 5: Solve for x
    x = 3,551,564,025/27,611
  6. Step 6: Final answer
    x = 128,628.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.