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Finding the Third Proportional to 19,973 and 29,960

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Solution

The third proportional to 19,973 and 29,960 is: 44,940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,973 : 29,960 = 29,960 : x
  2. Step 2: Convert to fraction form
    19,973/29,960 = 29,960/x
  3. Step 3: Cross multiply
    19,973x = 29,960 × 29,960
  4. Step 4: Simplify right side
    19,973x = 897,601,600
  5. Step 5: Solve for x
    x = 897,601,600/19,973
  6. Step 6: Final answer
    x = 44,940.75

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