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Finding the Third Proportional to 28,052 and 39,268

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Solution

The third proportional to 28,052 and 39,268 is: 54,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,052 : 39,268 = 39,268 : x
  2. Step 2: Convert to fraction form
    28,052/39,268 = 39,268/x
  3. Step 3: Cross multiply
    28,052x = 39,268 × 39,268
  4. Step 4: Simplify right side
    28,052x = 1,541,975,824
  5. Step 5: Solve for x
    x = 1,541,975,824/28,052
  6. Step 6: Final answer
    x = 54,968.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.