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Finding the Third Proportional to 15,003 and 36,003.75

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Solution

The third proportional to 15,003 and 36,003.75 is: 86,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,003 : 36,003.75 = 36,003.75 : x
  2. Step 2: Convert to fraction form
    15,003/36,003.75 = 36,003.75/x
  3. Step 3: Cross multiply
    15,003x = 36,003.75 × 36,003.75
  4. Step 4: Simplify right side
    15,003x = 1,296,270,014.06
  5. Step 5: Solve for x
    x = 1,296,270,014.06/15,003
  6. Step 6: Final answer
    x = 86,400.72

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.