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Finding the Third Proportional to 22,906 and 48,271

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Solution

The third proportional to 22,906 and 48,271 is: 101,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906 : 48,271 = 48,271 : x
  2. Step 2: Convert to fraction form
    22,906/48,271 = 48,271/x
  3. Step 3: Cross multiply
    22,906x = 48,271 × 48,271
  4. Step 4: Simplify right side
    22,906x = 2,330,089,441
  5. Step 5: Solve for x
    x = 2,330,089,441/22,906
  6. Step 6: Final answer
    x = 101,723.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.