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Finding the Third Proportional to 13,770 and 30,176

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Solution

The third proportional to 13,770 and 30,176 is: 66,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770 : 30,176 = 30,176 : x
  2. Step 2: Convert to fraction form
    13,770/30,176 = 30,176/x
  3. Step 3: Cross multiply
    13,770x = 30,176 × 30,176
  4. Step 4: Simplify right side
    13,770x = 910,590,976
  5. Step 5: Solve for x
    x = 910,590,976/13,770
  6. Step 6: Final answer
    x = 66,128.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.