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Finding the Third Proportional to 9,567 and 19,559

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Solution

The third proportional to 9,567 and 19,559 is: 39,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567 : 19,559 = 19,559 : x
  2. Step 2: Convert to fraction form
    9,567/19,559 = 19,559/x
  3. Step 3: Cross multiply
    9,567x = 19,559 × 19,559
  4. Step 4: Simplify right side
    9,567x = 382,554,481
  5. Step 5: Solve for x
    x = 382,554,481/9,567
  6. Step 6: Final answer
    x = 39,986.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.