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Finding the Third Proportional to 2,364 and 5,029

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Solution

The third proportional to 2,364 and 5,029 is: 10,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364 : 5,029 = 5,029 : x
  2. Step 2: Convert to fraction form
    2,364/5,029 = 5,029/x
  3. Step 3: Cross multiply
    2,364x = 5,029 × 5,029
  4. Step 4: Simplify right side
    2,364x = 25,290,841
  5. Step 5: Solve for x
    x = 25,290,841/2,364
  6. Step 6: Final answer
    x = 10,698.33

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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.