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Finding the Third Proportional to 19,974 and 30,326.25

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Solution

The third proportional to 19,974 and 30,326.25 is: 46,043.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974 : 30,326.25 = 30,326.25 : x
  2. Step 2: Convert to fraction form
    19,974/30,326.25 = 30,326.25/x
  3. Step 3: Cross multiply
    19,974x = 30,326.25 × 30,326.25
  4. Step 4: Simplify right side
    19,974x = 919,681,439.06
  5. Step 5: Solve for x
    x = 919,681,439.06/19,974
  6. Step 6: Final answer
    x = 46,043.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.