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Finding the Third Proportional to 19,956 and 29,998

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Solution

The third proportional to 19,956 and 29,998 is: 45,093.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,956 : 29,998 = 29,998 : x
  2. Step 2: Convert to fraction form
    19,956/29,998 = 29,998/x
  3. Step 3: Cross multiply
    19,956x = 29,998 × 29,998
  4. Step 4: Simplify right side
    19,956x = 899,880,004
  5. Step 5: Solve for x
    x = 899,880,004/19,956
  6. Step 6: Final answer
    x = 45,093.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.