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Finding the Third Proportional to 14,111 and 20,722

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Solution

The third proportional to 14,111 and 20,722 is: 30,430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111 : 20,722 = 20,722 : x
  2. Step 2: Convert to fraction form
    14,111/20,722 = 20,722/x
  3. Step 3: Cross multiply
    14,111x = 20,722 × 20,722
  4. Step 4: Simplify right side
    14,111x = 429,401,284
  5. Step 5: Solve for x
    x = 429,401,284/14,111
  6. Step 6: Final answer
    x = 30,430.25

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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.