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Finding the Third Proportional to 7,439 and 16,029

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Solution

The third proportional to 7,439 and 16,029 is: 34,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439 : 16,029 = 16,029 : x
  2. Step 2: Convert to fraction form
    7,439/16,029 = 16,029/x
  3. Step 3: Cross multiply
    7,439x = 16,029 × 16,029
  4. Step 4: Simplify right side
    7,439x = 256,928,841
  5. Step 5: Solve for x
    x = 256,928,841/7,439
  6. Step 6: Final answer
    x = 34,538.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.