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Finding the Third Proportional to 28,702 and 44,333

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Solution

The third proportional to 28,702 and 44,333 is: 68,476.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,702 : 44,333 = 44,333 : x
  2. Step 2: Convert to fraction form
    28,702/44,333 = 44,333/x
  3. Step 3: Cross multiply
    28,702x = 44,333 × 44,333
  4. Step 4: Simplify right side
    28,702x = 1,965,414,889
  5. Step 5: Solve for x
    x = 1,965,414,889/28,702
  6. Step 6: Final answer
    x = 68,476.58

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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.