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Finding the Third Proportional to 9,357 and 20,475

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Solution

The third proportional to 9,357 and 20,475 is: 44,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357 : 20,475 = 20,475 : x
  2. Step 2: Convert to fraction form
    9,357/20,475 = 20,475/x
  3. Step 3: Cross multiply
    9,357x = 20,475 × 20,475
  4. Step 4: Simplify right side
    9,357x = 419,225,625
  5. Step 5: Solve for x
    x = 419,225,625/9,357
  6. Step 6: Final answer
    x = 44,803.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.