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Finding the Third Proportional to 9,597 and 20,571

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Solution

The third proportional to 9,597 and 20,571 is: 44,093.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597 : 20,571 = 20,571 : x
  2. Step 2: Convert to fraction form
    9,597/20,571 = 20,571/x
  3. Step 3: Cross multiply
    9,597x = 20,571 × 20,571
  4. Step 4: Simplify right side
    9,597x = 423,166,041
  5. Step 5: Solve for x
    x = 423,166,041/9,597
  6. Step 6: Final answer
    x = 44,093.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.