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Finding the Third Proportional to 19,734.47 and 30,331.97

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Solution

The third proportional to 19,734.47 and 30,331.97 is: 46,620.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,734.47 : 30,331.97 = 30,331.97 : x
  2. Step 2: Convert to fraction form
    19,734.47/30,331.97 = 30,331.97/x
  3. Step 3: Cross multiply
    19,734.47x = 30,331.97 × 30,331.97
  4. Step 4: Simplify right side
    19,734.47x = 920,028,328.25
  5. Step 5: Solve for x
    x = 920,028,328.25/19,734.47
  6. Step 6: Final answer
    x = 46,620.37

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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.