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Finding the Third Proportional to 22,024 and 46,608

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Solution

The third proportional to 22,024 and 46,608 is: 98,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024 : 46,608 = 46,608 : x
  2. Step 2: Convert to fraction form
    22,024/46,608 = 46,608/x
  3. Step 3: Cross multiply
    22,024x = 46,608 × 46,608
  4. Step 4: Simplify right side
    22,024x = 2,172,305,664
  5. Step 5: Solve for x
    x = 2,172,305,664/22,024
  6. Step 6: Final answer
    x = 98,633.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.