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Finding the Third Proportional to 13,432 and 25,172

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Solution

The third proportional to 13,432 and 25,172 is: 47,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432 : 25,172 = 25,172 : x
  2. Step 2: Convert to fraction form
    13,432/25,172 = 25,172/x
  3. Step 3: Cross multiply
    13,432x = 25,172 × 25,172
  4. Step 4: Simplify right side
    13,432x = 633,629,584
  5. Step 5: Solve for x
    x = 633,629,584/13,432
  6. Step 6: Final answer
    x = 47,173.14

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.