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Finding the Third Proportional to 28,690 and 44,311

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Solution

The third proportional to 28,690 and 44,311 is: 68,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,690 : 44,311 = 44,311 : x
  2. Step 2: Convert to fraction form
    28,690/44,311 = 44,311/x
  3. Step 3: Cross multiply
    28,690x = 44,311 × 44,311
  4. Step 4: Simplify right side
    28,690x = 1,963,464,721
  5. Step 5: Solve for x
    x = 1,963,464,721/28,690
  6. Step 6: Final answer
    x = 68,437.25

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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.