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Finding the Third Proportional to 13,675 and 29,821

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Solution

The third proportional to 13,675 and 29,821 is: 65,030.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675 : 29,821 = 29,821 : x
  2. Step 2: Convert to fraction form
    13,675/29,821 = 29,821/x
  3. Step 3: Cross multiply
    13,675x = 29,821 × 29,821
  4. Step 4: Simplify right side
    13,675x = 889,292,041
  5. Step 5: Solve for x
    x = 889,292,041/13,675
  6. Step 6: Final answer
    x = 65,030.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.