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Finding the Third Proportional to 12,054 and 29,029

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Solution

The third proportional to 12,054 and 29,029 is: 69,908.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,054 : 29,029 = 29,029 : x
  2. Step 2: Convert to fraction form
    12,054/29,029 = 29,029/x
  3. Step 3: Cross multiply
    12,054x = 29,029 × 29,029
  4. Step 4: Simplify right side
    12,054x = 842,682,841
  5. Step 5: Solve for x
    x = 842,682,841/12,054
  6. Step 6: Final answer
    x = 69,908.98

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.