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Finding the Third Proportional to 22,314 and 48,301

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Solution

The third proportional to 22,314 and 48,301 is: 104,552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314 : 48,301 = 48,301 : x
  2. Step 2: Convert to fraction form
    22,314/48,301 = 48,301/x
  3. Step 3: Cross multiply
    22,314x = 48,301 × 48,301
  4. Step 4: Simplify right side
    22,314x = 2,332,986,601
  5. Step 5: Solve for x
    x = 2,332,986,601/22,314
  6. Step 6: Final answer
    x = 104,552.59

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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.