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Finding the Third Proportional to 13,409.63 and 15,880.13

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Solution

The third proportional to 13,409.63 and 15,880.13 is: 18,805.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.63 : 15,880.13 = 15,880.13 : x
  2. Step 2: Convert to fraction form
    13,409.63/15,880.13 = 15,880.13/x
  3. Step 3: Cross multiply
    13,409.63x = 15,880.13 × 15,880.13
  4. Step 4: Simplify right side
    13,409.63x = 252,178,370.02
  5. Step 5: Solve for x
    x = 252,178,370.02/13,409.63
  6. Step 6: Final answer
    x = 18,805.77

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.