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Finding the Third Proportional to 21,589 and 46,174

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Solution

The third proportional to 21,589 and 46,174 is: 98,755.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,589 : 46,174 = 46,174 : x
  2. Step 2: Convert to fraction form
    21,589/46,174 = 46,174/x
  3. Step 3: Cross multiply
    21,589x = 46,174 × 46,174
  4. Step 4: Simplify right side
    21,589x = 2,132,038,276
  5. Step 5: Solve for x
    x = 2,132,038,276/21,589
  6. Step 6: Final answer
    x = 98,755.77

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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.