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Finding the Third Proportional to 9,467 and 20,575

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Solution

The third proportional to 9,467 and 20,575 is: 44,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467 : 20,575 = 20,575 : x
  2. Step 2: Convert to fraction form
    9,467/20,575 = 20,575/x
  3. Step 3: Cross multiply
    9,467x = 20,575 × 20,575
  4. Step 4: Simplify right side
    9,467x = 423,330,625
  5. Step 5: Solve for x
    x = 423,330,625/9,467
  6. Step 6: Final answer
    x = 44,716.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.