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Finding the Third Proportional to 27,573 and 43,822

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Solution

The third proportional to 27,573 and 43,822 is: 69,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,573 : 43,822 = 43,822 : x
  2. Step 2: Convert to fraction form
    27,573/43,822 = 43,822/x
  3. Step 3: Cross multiply
    27,573x = 43,822 × 43,822
  4. Step 4: Simplify right side
    27,573x = 1,920,367,684
  5. Step 5: Solve for x
    x = 1,920,367,684/27,573
  6. Step 6: Final answer
    x = 69,646.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.