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Finding the Third Proportional to 20,709.75 and 27,968.63

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Solution

The third proportional to 20,709.75 and 27,968.63 is: 37,771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709.75 : 27,968.63 = 27,968.63 : x
  2. Step 2: Convert to fraction form
    20,709.75/27,968.63 = 27,968.63/x
  3. Step 3: Cross multiply
    20,709.75x = 27,968.63 × 27,968.63
  4. Step 4: Simplify right side
    20,709.75x = 782,243,984.39
  5. Step 5: Solve for x
    x = 782,243,984.39/20,709.75
  6. Step 6: Final answer
    x = 37,771.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.