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Finding the Third Proportional to 19,296.75 and 39,129.75

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Solution

The third proportional to 19,296.75 and 39,129.75 is: 79,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,296.75 : 39,129.75 = 39,129.75 : x
  2. Step 2: Convert to fraction form
    19,296.75/39,129.75 = 39,129.75/x
  3. Step 3: Cross multiply
    19,296.75x = 39,129.75 × 39,129.75
  4. Step 4: Simplify right side
    19,296.75x = 1,531,137,335.06
  5. Step 5: Solve for x
    x = 1,531,137,335.06/19,296.75
  6. Step 6: Final answer
    x = 79,346.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.