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Finding the Third Proportional to 19,803 and 31,003

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Solution

The third proportional to 19,803 and 31,003 is: 48,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,803 : 31,003 = 31,003 : x
  2. Step 2: Convert to fraction form
    19,803/31,003 = 31,003/x
  3. Step 3: Cross multiply
    19,803x = 31,003 × 31,003
  4. Step 4: Simplify right side
    19,803x = 961,186,009
  5. Step 5: Solve for x
    x = 961,186,009/19,803
  6. Step 6: Final answer
    x = 48,537.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.