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Finding the Third Proportional to 22,308 and 48,903

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Solution

The third proportional to 22,308 and 48,903 is: 107,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,308 : 48,903 = 48,903 : x
  2. Step 2: Convert to fraction form
    22,308/48,903 = 48,903/x
  3. Step 3: Cross multiply
    22,308x = 48,903 × 48,903
  4. Step 4: Simplify right side
    22,308x = 2,391,503,409
  5. Step 5: Solve for x
    x = 2,391,503,409/22,308
  6. Step 6: Final answer
    x = 107,203.85

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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.