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Finding the Third Proportional to 13,465 and 20,667

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Solution

The third proportional to 13,465 and 20,667 is: 31,721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465 : 20,667 = 20,667 : x
  2. Step 2: Convert to fraction form
    13,465/20,667 = 20,667/x
  3. Step 3: Cross multiply
    13,465x = 20,667 × 20,667
  4. Step 4: Simplify right side
    13,465x = 427,124,889
  5. Step 5: Solve for x
    x = 427,124,889/13,465
  6. Step 6: Final answer
    x = 31,721.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.