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Finding the Third Proportional to 6,123 and 13,029

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Solution

The third proportional to 6,123 and 13,029 is: 27,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123 : 13,029 = 13,029 : x
  2. Step 2: Convert to fraction form
    6,123/13,029 = 13,029/x
  3. Step 3: Cross multiply
    6,123x = 13,029 × 13,029
  4. Step 4: Simplify right side
    6,123x = 169,754,841
  5. Step 5: Solve for x
    x = 169,754,841/6,123
  6. Step 6: Final answer
    x = 27,724.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.