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Finding the Third Proportional to 28,546 and 43,911

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Solution

The third proportional to 28,546 and 43,911 is: 67,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,546 : 43,911 = 43,911 : x
  2. Step 2: Convert to fraction form
    28,546/43,911 = 43,911/x
  3. Step 3: Cross multiply
    28,546x = 43,911 × 43,911
  4. Step 4: Simplify right side
    28,546x = 1,928,175,921
  5. Step 5: Solve for x
    x = 1,928,175,921/28,546
  6. Step 6: Final answer
    x = 67,546.27

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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.