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Finding the Third Proportional to 22,374 and 32,912

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Solution

The third proportional to 22,374 and 32,912 is: 48,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,374 : 32,912 = 32,912 : x
  2. Step 2: Convert to fraction form
    22,374/32,912 = 32,912/x
  3. Step 3: Cross multiply
    22,374x = 32,912 × 32,912
  4. Step 4: Simplify right side
    22,374x = 1,083,199,744
  5. Step 5: Solve for x
    x = 1,083,199,744/22,374
  6. Step 6: Final answer
    x = 48,413.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.