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Finding the Third Proportional to 19,984 and 43,775

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Solution

The third proportional to 19,984 and 43,775 is: 95,889.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984 : 43,775 = 43,775 : x
  2. Step 2: Convert to fraction form
    19,984/43,775 = 43,775/x
  3. Step 3: Cross multiply
    19,984x = 43,775 × 43,775
  4. Step 4: Simplify right side
    19,984x = 1,916,250,625
  5. Step 5: Solve for x
    x = 1,916,250,625/19,984
  6. Step 6: Final answer
    x = 95,889.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.