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Finding the Third Proportional to 30,864 and 46,093

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Solution

The third proportional to 30,864 and 46,093 is: 68,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,864 : 46,093 = 46,093 : x
  2. Step 2: Convert to fraction form
    30,864/46,093 = 46,093/x
  3. Step 3: Cross multiply
    30,864x = 46,093 × 46,093
  4. Step 4: Simplify right side
    30,864x = 2,124,564,649
  5. Step 5: Solve for x
    x = 2,124,564,649/30,864
  6. Step 6: Final answer
    x = 68,836.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.