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Finding the Third Proportional to 13,770.50 and 30,177

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Solution

The third proportional to 13,770.50 and 30,177 is: 66,130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.50 : 30,177 = 30,177 : x
  2. Step 2: Convert to fraction form
    13,770.50/30,177 = 30,177/x
  3. Step 3: Cross multiply
    13,770.50x = 30,177 × 30,177
  4. Step 4: Simplify right side
    13,770.50x = 910,651,329
  5. Step 5: Solve for x
    x = 910,651,329/13,770.50
  6. Step 6: Final answer
    x = 66,130.59

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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.