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Finding the Third Proportional to 28,911 and 43,366

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Solution

The third proportional to 28,911 and 43,366 is: 65,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,911 : 43,366 = 43,366 : x
  2. Step 2: Convert to fraction form
    28,911/43,366 = 43,366/x
  3. Step 3: Cross multiply
    28,911x = 43,366 × 43,366
  4. Step 4: Simplify right side
    28,911x = 1,880,609,956
  5. Step 5: Solve for x
    x = 1,880,609,956/28,911
  6. Step 6: Final answer
    x = 65,048.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.