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Finding the Third Proportional to 22,661 and 48,604

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Solution

The third proportional to 22,661 and 48,604 is: 104,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,661 : 48,604 = 48,604 : x
  2. Step 2: Convert to fraction form
    22,661/48,604 = 48,604/x
  3. Step 3: Cross multiply
    22,661x = 48,604 × 48,604
  4. Step 4: Simplify right side
    22,661x = 2,362,348,816
  5. Step 5: Solve for x
    x = 2,362,348,816/22,661
  6. Step 6: Final answer
    x = 104,247.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.