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Finding the Third Proportional to 9,003 and 18,365

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Solution

The third proportional to 9,003 and 18,365 is: 37,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003 : 18,365 = 18,365 : x
  2. Step 2: Convert to fraction form
    9,003/18,365 = 18,365/x
  3. Step 3: Cross multiply
    9,003x = 18,365 × 18,365
  4. Step 4: Simplify right side
    9,003x = 337,273,225
  5. Step 5: Solve for x
    x = 337,273,225/9,003
  6. Step 6: Final answer
    x = 37,462.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.