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Finding the Third Proportional to 9,393 and 20,421

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Solution

The third proportional to 9,393 and 20,421 is: 44,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393 : 20,421 = 20,421 : x
  2. Step 2: Convert to fraction form
    9,393/20,421 = 20,421/x
  3. Step 3: Cross multiply
    9,393x = 20,421 × 20,421
  4. Step 4: Simplify right side
    9,393x = 417,017,241
  5. Step 5: Solve for x
    x = 417,017,241/9,393
  6. Step 6: Final answer
    x = 44,396.60

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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.