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Finding the Third Proportional to 19,003 and 43,987

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Solution

The third proportional to 19,003 and 43,987 is: 101,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,003 : 43,987 = 43,987 : x
  2. Step 2: Convert to fraction form
    19,003/43,987 = 43,987/x
  3. Step 3: Cross multiply
    19,003x = 43,987 × 43,987
  4. Step 4: Simplify right side
    19,003x = 1,934,856,169
  5. Step 5: Solve for x
    x = 1,934,856,169/19,003
  6. Step 6: Final answer
    x = 101,818.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.