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Finding the Third Proportional to 21,583 and 46,163

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Solution

The third proportional to 21,583 and 46,163 is: 98,736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,583 : 46,163 = 46,163 : x
  2. Step 2: Convert to fraction form
    21,583/46,163 = 46,163/x
  3. Step 3: Cross multiply
    21,583x = 46,163 × 46,163
  4. Step 4: Simplify right side
    21,583x = 2,131,022,569
  5. Step 5: Solve for x
    x = 2,131,022,569/21,583
  6. Step 6: Final answer
    x = 98,736.16

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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.