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Finding the Third Proportional to 9,424 and 21,248

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Solution

The third proportional to 9,424 and 21,248 is: 47,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424 : 21,248 = 21,248 : x
  2. Step 2: Convert to fraction form
    9,424/21,248 = 21,248/x
  3. Step 3: Cross multiply
    9,424x = 21,248 × 21,248
  4. Step 4: Simplify right side
    9,424x = 451,477,504
  5. Step 5: Solve for x
    x = 451,477,504/9,424
  6. Step 6: Final answer
    x = 47,907.21

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.