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Finding the Third Proportional to 9,391 and 20,253

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Solution

The third proportional to 9,391 and 20,253 is: 43,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391 : 20,253 = 20,253 : x
  2. Step 2: Convert to fraction form
    9,391/20,253 = 20,253/x
  3. Step 3: Cross multiply
    9,391x = 20,253 × 20,253
  4. Step 4: Simplify right side
    9,391x = 410,184,009
  5. Step 5: Solve for x
    x = 410,184,009/9,391
  6. Step 6: Final answer
    x = 43,678.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.