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Finding the Third Proportional to 28,616 and 43,774

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Solution

The third proportional to 28,616 and 43,774 is: 66,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,616 : 43,774 = 43,774 : x
  2. Step 2: Convert to fraction form
    28,616/43,774 = 43,774/x
  3. Step 3: Cross multiply
    28,616x = 43,774 × 43,774
  4. Step 4: Simplify right side
    28,616x = 1,916,163,076
  5. Step 5: Solve for x
    x = 1,916,163,076/28,616
  6. Step 6: Final answer
    x = 66,961.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.