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Finding the Third Proportional to 28,213 and 42,874

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Solution

The third proportional to 28,213 and 42,874 is: 65,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,213 : 42,874 = 42,874 : x
  2. Step 2: Convert to fraction form
    28,213/42,874 = 42,874/x
  3. Step 3: Cross multiply
    28,213x = 42,874 × 42,874
  4. Step 4: Simplify right side
    28,213x = 1,838,179,876
  5. Step 5: Solve for x
    x = 1,838,179,876/28,213
  6. Step 6: Final answer
    x = 65,153.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.