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Finding the Third Proportional to 29,421 and 44,405

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Solution

The third proportional to 29,421 and 44,405 is: 67,020.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,421 : 44,405 = 44,405 : x
  2. Step 2: Convert to fraction form
    29,421/44,405 = 44,405/x
  3. Step 3: Cross multiply
    29,421x = 44,405 × 44,405
  4. Step 4: Simplify right side
    29,421x = 1,971,804,025
  5. Step 5: Solve for x
    x = 1,971,804,025/29,421
  6. Step 6: Final answer
    x = 67,020.29

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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.