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Finding the Third Proportional to 20,057 and 22,973

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Solution

The third proportional to 20,057 and 22,973 is: 26,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057 : 22,973 = 22,973 : x
  2. Step 2: Convert to fraction form
    20,057/22,973 = 22,973/x
  3. Step 3: Cross multiply
    20,057x = 22,973 × 22,973
  4. Step 4: Simplify right side
    20,057x = 527,758,729
  5. Step 5: Solve for x
    x = 527,758,729/20,057
  6. Step 6: Final answer
    x = 26,312.94

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.