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Finding the Third Proportional to 13,580 and 20,242

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Solution

The third proportional to 13,580 and 20,242 is: 30,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580 : 20,242 = 20,242 : x
  2. Step 2: Convert to fraction form
    13,580/20,242 = 20,242/x
  3. Step 3: Cross multiply
    13,580x = 20,242 × 20,242
  4. Step 4: Simplify right side
    13,580x = 409,738,564
  5. Step 5: Solve for x
    x = 409,738,564/13,580
  6. Step 6: Final answer
    x = 30,172.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.