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Finding the Third Proportional to 20,475 and 30,041

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Solution

The third proportional to 20,475 and 30,041 is: 44,076.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475 : 30,041 = 30,041 : x
  2. Step 2: Convert to fraction form
    20,475/30,041 = 30,041/x
  3. Step 3: Cross multiply
    20,475x = 30,041 × 30,041
  4. Step 4: Simplify right side
    20,475x = 902,461,681
  5. Step 5: Solve for x
    x = 902,461,681/20,475
  6. Step 6: Final answer
    x = 44,076.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.