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Finding the Third Proportional to 27,679 and 59,733

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Solution

The third proportional to 27,679 and 59,733 is: 128,907.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,679 : 59,733 = 59,733 : x
  2. Step 2: Convert to fraction form
    27,679/59,733 = 59,733/x
  3. Step 3: Cross multiply
    27,679x = 59,733 × 59,733
  4. Step 4: Simplify right side
    27,679x = 3,568,031,289
  5. Step 5: Solve for x
    x = 3,568,031,289/27,679
  6. Step 6: Final answer
    x = 128,907.52

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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.