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Finding the Third Proportional to 22,939 and 35,270

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Solution

The third proportional to 22,939 and 35,270 is: 54,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,939 : 35,270 = 35,270 : x
  2. Step 2: Convert to fraction form
    22,939/35,270 = 35,270/x
  3. Step 3: Cross multiply
    22,939x = 35,270 × 35,270
  4. Step 4: Simplify right side
    22,939x = 1,243,972,900
  5. Step 5: Solve for x
    x = 1,243,972,900/22,939
  6. Step 6: Final answer
    x = 54,229.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.