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Finding the Third Proportional to 28,589 and 61,946

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Solution

The third proportional to 28,589 and 61,946 is: 134,223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,589 : 61,946 = 61,946 : x
  2. Step 2: Convert to fraction form
    28,589/61,946 = 61,946/x
  3. Step 3: Cross multiply
    28,589x = 61,946 × 61,946
  4. Step 4: Simplify right side
    28,589x = 3,837,306,916
  5. Step 5: Solve for x
    x = 3,837,306,916/28,589
  6. Step 6: Final answer
    x = 134,223.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.