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Finding the Third Proportional to 22,377 and 46,593

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Solution

The third proportional to 22,377 and 46,593 is: 97,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,377 : 46,593 = 46,593 : x
  2. Step 2: Convert to fraction form
    22,377/46,593 = 46,593/x
  3. Step 3: Cross multiply
    22,377x = 46,593 × 46,593
  4. Step 4: Simplify right side
    22,377x = 2,170,907,649
  5. Step 5: Solve for x
    x = 2,170,907,649/22,377
  6. Step 6: Final answer
    x = 97,015.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.