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Finding the Third Proportional to 13,069 and 19,633

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Solution

The third proportional to 13,069 and 19,633 is: 29,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,069 : 19,633 = 19,633 : x
  2. Step 2: Convert to fraction form
    13,069/19,633 = 19,633/x
  3. Step 3: Cross multiply
    13,069x = 19,633 × 19,633
  4. Step 4: Simplify right side
    13,069x = 385,454,689
  5. Step 5: Solve for x
    x = 385,454,689/13,069
  6. Step 6: Final answer
    x = 29,493.82

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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.