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Finding the Third Proportional to 14,019 and 21,029

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Solution

The third proportional to 14,019 and 21,029 is: 31,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019 : 21,029 = 21,029 : x
  2. Step 2: Convert to fraction form
    14,019/21,029 = 21,029/x
  3. Step 3: Cross multiply
    14,019x = 21,029 × 21,029
  4. Step 4: Simplify right side
    14,019x = 442,218,841
  5. Step 5: Solve for x
    x = 442,218,841/14,019
  6. Step 6: Final answer
    x = 31,544.25

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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.