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Finding the Third Proportional to 30,180 and 53,880

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Solution

The third proportional to 30,180 and 53,880 is: 96,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,180 : 53,880 = 53,880 : x
  2. Step 2: Convert to fraction form
    30,180/53,880 = 53,880/x
  3. Step 3: Cross multiply
    30,180x = 53,880 × 53,880
  4. Step 4: Simplify right side
    30,180x = 2,903,054,400
  5. Step 5: Solve for x
    x = 2,903,054,400/30,180
  6. Step 6: Final answer
    x = 96,191.33

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.