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Finding the Third Proportional to 28,048 and 40,003

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Solution

The third proportional to 28,048 and 40,003 is: 57,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,048 : 40,003 = 40,003 : x
  2. Step 2: Convert to fraction form
    28,048/40,003 = 40,003/x
  3. Step 3: Cross multiply
    28,048x = 40,003 × 40,003
  4. Step 4: Simplify right side
    28,048x = 1,600,240,009
  5. Step 5: Solve for x
    x = 1,600,240,009/28,048
  6. Step 6: Final answer
    x = 57,053.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.