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Finding the Third Proportional to 19,719 and 30,550.50

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Solution

The third proportional to 19,719 and 30,550.50 is: 47,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,719 : 30,550.50 = 30,550.50 : x
  2. Step 2: Convert to fraction form
    19,719/30,550.50 = 30,550.50/x
  3. Step 3: Cross multiply
    19,719x = 30,550.50 × 30,550.50
  4. Step 4: Simplify right side
    19,719x = 933,333,050.25
  5. Step 5: Solve for x
    x = 933,333,050.25/19,719
  6. Step 6: Final answer
    x = 47,331.66

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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.