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Finding the Third Proportional to 19,629 and 29,529

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Solution

The third proportional to 19,629 and 29,529 is: 44,422.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,629 : 29,529 = 29,529 : x
  2. Step 2: Convert to fraction form
    19,629/29,529 = 29,529/x
  3. Step 3: Cross multiply
    19,629x = 29,529 × 29,529
  4. Step 4: Simplify right side
    19,629x = 871,961,841
  5. Step 5: Solve for x
    x = 871,961,841/19,629
  6. Step 6: Final answer
    x = 44,422.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.