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Finding the Third Proportional to 19,973 and 30,738

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Solution

The third proportional to 19,973 and 30,738 is: 47,305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,973 : 30,738 = 30,738 : x
  2. Step 2: Convert to fraction form
    19,973/30,738 = 30,738/x
  3. Step 3: Cross multiply
    19,973x = 30,738 × 30,738
  4. Step 4: Simplify right side
    19,973x = 944,824,644
  5. Step 5: Solve for x
    x = 944,824,644/19,973
  6. Step 6: Final answer
    x = 47,305.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.