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Finding the Third Proportional to 13,860.50 and 30,378.75

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Solution

The third proportional to 13,860.50 and 30,378.75 is: 66,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860.50 : 30,378.75 = 30,378.75 : x
  2. Step 2: Convert to fraction form
    13,860.50/30,378.75 = 30,378.75/x
  3. Step 3: Cross multiply
    13,860.50x = 30,378.75 × 30,378.75
  4. Step 4: Simplify right side
    13,860.50x = 922,868,451.56
  5. Step 5: Solve for x
    x = 922,868,451.56/13,860.50
  6. Step 6: Final answer
    x = 66,582.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.