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Finding the Third Proportional to 16,539 and 23,577

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Solution

The third proportional to 16,539 and 23,577 is: 33,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539 : 23,577 = 23,577 : x
  2. Step 2: Convert to fraction form
    16,539/23,577 = 23,577/x
  3. Step 3: Cross multiply
    16,539x = 23,577 × 23,577
  4. Step 4: Simplify right side
    16,539x = 555,874,929
  5. Step 5: Solve for x
    x = 555,874,929/16,539
  6. Step 6: Final answer
    x = 33,609.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.