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Finding the Third Proportional to 30,160 and 41,676

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Solution

The third proportional to 30,160 and 41,676 is: 57,589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,160 : 41,676 = 41,676 : x
  2. Step 2: Convert to fraction form
    30,160/41,676 = 41,676/x
  3. Step 3: Cross multiply
    30,160x = 41,676 × 41,676
  4. Step 4: Simplify right side
    30,160x = 1,736,888,976
  5. Step 5: Solve for x
    x = 1,736,888,976/30,160
  6. Step 6: Final answer
    x = 57,589.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.