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Finding the Third Proportional to 13,880.11 and 19,782.04

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Solution

The third proportional to 13,880.11 and 19,782.04 is: 28,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880.11 : 19,782.04 = 19,782.04 : x
  2. Step 2: Convert to fraction form
    13,880.11/19,782.04 = 19,782.04/x
  3. Step 3: Cross multiply
    13,880.11x = 19,782.04 × 19,782.04
  4. Step 4: Simplify right side
    13,880.11x = 391,328,914.92
  5. Step 5: Solve for x
    x = 391,328,914.92/13,880.11
  6. Step 6: Final answer
    x = 28,193.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.