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Finding the Third Proportional to 21,930 and 46,593

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Solution

The third proportional to 21,930 and 46,593 is: 98,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930 : 46,593 = 46,593 : x
  2. Step 2: Convert to fraction form
    21,930/46,593 = 46,593/x
  3. Step 3: Cross multiply
    21,930x = 46,593 × 46,593
  4. Step 4: Simplify right side
    21,930x = 2,170,907,649
  5. Step 5: Solve for x
    x = 2,170,907,649/21,930
  6. Step 6: Final answer
    x = 98,992.60

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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.