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Finding the Third Proportional to 30,954 and 43,758

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Solution

The third proportional to 30,954 and 43,758 is: 61,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,954 : 43,758 = 43,758 : x
  2. Step 2: Convert to fraction form
    30,954/43,758 = 43,758/x
  3. Step 3: Cross multiply
    30,954x = 43,758 × 43,758
  4. Step 4: Simplify right side
    30,954x = 1,914,762,564
  5. Step 5: Solve for x
    x = 1,914,762,564/30,954
  6. Step 6: Final answer
    x = 61,858.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.