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Finding the Third Proportional to 27,578 and 59,620

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Solution

The third proportional to 27,578 and 59,620 is: 128,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578 : 59,620 = 59,620 : x
  2. Step 2: Convert to fraction form
    27,578/59,620 = 59,620/x
  3. Step 3: Cross multiply
    27,578x = 59,620 × 59,620
  4. Step 4: Simplify right side
    27,578x = 3,554,544,400
  5. Step 5: Solve for x
    x = 3,554,544,400/27,578
  6. Step 6: Final answer
    x = 128,890.58

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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.