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Finding the Third Proportional to 22,928 and 46,592

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Solution

The third proportional to 22,928 and 46,592 is: 94,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,928 : 46,592 = 46,592 : x
  2. Step 2: Convert to fraction form
    22,928/46,592 = 46,592/x
  3. Step 3: Cross multiply
    22,928x = 46,592 × 46,592
  4. Step 4: Simplify right side
    22,928x = 2,170,814,464
  5. Step 5: Solve for x
    x = 2,170,814,464/22,928
  6. Step 6: Final answer
    x = 94,679.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.