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Finding the Third Proportional to 2,023 and 3,003

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Solution

The third proportional to 2,023 and 3,003 is: 4,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023 : 3,003 = 3,003 : x
  2. Step 2: Convert to fraction form
    2,023/3,003 = 3,003/x
  3. Step 3: Cross multiply
    2,023x = 3,003 × 3,003
  4. Step 4: Simplify right side
    2,023x = 9,018,009
  5. Step 5: Solve for x
    x = 9,018,009/2,023
  6. Step 6: Final answer
    x = 4,457.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.