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Finding the Third Proportional to 21,517 and 46,607

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Solution

The third proportional to 21,517 and 46,607 is: 100,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,517 : 46,607 = 46,607 : x
  2. Step 2: Convert to fraction form
    21,517/46,607 = 46,607/x
  3. Step 3: Cross multiply
    21,517x = 46,607 × 46,607
  4. Step 4: Simplify right side
    21,517x = 2,172,212,449
  5. Step 5: Solve for x
    x = 2,172,212,449/21,517
  6. Step 6: Final answer
    x = 100,953.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.