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Finding the Third Proportional to 22,218 and 37,035

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Solution

The third proportional to 22,218 and 37,035 is: 61,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,218 : 37,035 = 37,035 : x
  2. Step 2: Convert to fraction form
    22,218/37,035 = 37,035/x
  3. Step 3: Cross multiply
    22,218x = 37,035 × 37,035
  4. Step 4: Simplify right side
    22,218x = 1,371,591,225
  5. Step 5: Solve for x
    x = 1,371,591,225/22,218
  6. Step 6: Final answer
    x = 61,733.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.