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Finding the Third Proportional to 19,730.25 and 30,570.75

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Solution

The third proportional to 19,730.25 and 30,570.75 is: 47,367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730.25 : 30,570.75 = 30,570.75 : x
  2. Step 2: Convert to fraction form
    19,730.25/30,570.75 = 30,570.75/x
  3. Step 3: Cross multiply
    19,730.25x = 30,570.75 × 30,570.75
  4. Step 4: Simplify right side
    19,730.25x = 934,570,755.56
  5. Step 5: Solve for x
    x = 934,570,755.56/19,730.25
  6. Step 6: Final answer
    x = 47,367.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.