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Finding the Third Proportional to 8,880 and 19,429.50

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Solution

The third proportional to 8,880 and 19,429.50 is: 42,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,880 : 19,429.50 = 19,429.50 : x
  2. Step 2: Convert to fraction form
    8,880/19,429.50 = 19,429.50/x
  3. Step 3: Cross multiply
    8,880x = 19,429.50 × 19,429.50
  4. Step 4: Simplify right side
    8,880x = 377,505,470.25
  5. Step 5: Solve for x
    x = 377,505,470.25/8,880
  6. Step 6: Final answer
    x = 42,511.88

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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.