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Finding the Third Proportional to 2,337 and 5,003

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Solution

The third proportional to 2,337 and 5,003 is: 10,710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337 : 5,003 = 5,003 : x
  2. Step 2: Convert to fraction form
    2,337/5,003 = 5,003/x
  3. Step 3: Cross multiply
    2,337x = 5,003 × 5,003
  4. Step 4: Simplify right side
    2,337x = 25,030,009
  5. Step 5: Solve for x
    x = 25,030,009/2,337
  6. Step 6: Final answer
    x = 10,710.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.