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Finding the Third Proportional to 13,253.63 and 18,240.19

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Solution

The third proportional to 13,253.63 and 18,240.19 is: 25,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253.63 : 18,240.19 = 18,240.19 : x
  2. Step 2: Convert to fraction form
    13,253.63/18,240.19 = 18,240.19/x
  3. Step 3: Cross multiply
    13,253.63x = 18,240.19 × 18,240.19
  4. Step 4: Simplify right side
    13,253.63x = 332,704,440.04
  5. Step 5: Solve for x
    x = 332,704,440.04/13,253.63
  6. Step 6: Final answer
    x = 25,102.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.