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Finding the Third Proportional to 14,045 and 29,821

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Solution

The third proportional to 14,045 and 29,821 is: 63,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,045 : 29,821 = 29,821 : x
  2. Step 2: Convert to fraction form
    14,045/29,821 = 29,821/x
  3. Step 3: Cross multiply
    14,045x = 29,821 × 29,821
  4. Step 4: Simplify right side
    14,045x = 889,292,041
  5. Step 5: Solve for x
    x = 889,292,041/14,045
  6. Step 6: Final answer
    x = 63,317.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.