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Finding the Third Proportional to 14,174 and 31,075

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Solution

The third proportional to 14,174 and 31,075 is: 68,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,174 : 31,075 = 31,075 : x
  2. Step 2: Convert to fraction form
    14,174/31,075 = 31,075/x
  3. Step 3: Cross multiply
    14,174x = 31,075 × 31,075
  4. Step 4: Simplify right side
    14,174x = 965,655,625
  5. Step 5: Solve for x
    x = 965,655,625/14,174
  6. Step 6: Final answer
    x = 68,128.66

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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.