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Finding the Third Proportional to 13,532.63 and 18,435.38

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Solution

The third proportional to 13,532.63 and 18,435.38 is: 25,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.63 : 18,435.38 = 18,435.38 : x
  2. Step 2: Convert to fraction form
    13,532.63/18,435.38 = 18,435.38/x
  3. Step 3: Cross multiply
    13,532.63x = 18,435.38 × 18,435.38
  4. Step 4: Simplify right side
    13,532.63x = 339,863,051.39
  5. Step 5: Solve for x
    x = 339,863,051.39/13,532.63
  6. Step 6: Final answer
    x = 25,114.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.