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Finding the Third Proportional to 29,421 and 44,404

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Solution

The third proportional to 29,421 and 44,404 is: 67,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,421 : 44,404 = 44,404 : x
  2. Step 2: Convert to fraction form
    29,421/44,404 = 44,404/x
  3. Step 3: Cross multiply
    29,421x = 44,404 × 44,404
  4. Step 4: Simplify right side
    29,421x = 1,971,715,216
  5. Step 5: Solve for x
    x = 1,971,715,216/29,421
  6. Step 6: Final answer
    x = 67,017.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.