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Finding the Third Proportional to 7,218 and 15,003

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Solution

The third proportional to 7,218 and 15,003 is: 31,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218 : 15,003 = 15,003 : x
  2. Step 2: Convert to fraction form
    7,218/15,003 = 15,003/x
  3. Step 3: Cross multiply
    7,218x = 15,003 × 15,003
  4. Step 4: Simplify right side
    7,218x = 225,090,009
  5. Step 5: Solve for x
    x = 225,090,009/7,218
  6. Step 6: Final answer
    x = 31,184.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.