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Finding the Third Proportional to 20,484.75 and 28,034.25

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Solution

The third proportional to 20,484.75 and 28,034.25 is: 38,366.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,484.75 : 28,034.25 = 28,034.25 : x
  2. Step 2: Convert to fraction form
    20,484.75/28,034.25 = 28,034.25/x
  3. Step 3: Cross multiply
    20,484.75x = 28,034.25 × 28,034.25
  4. Step 4: Simplify right side
    20,484.75x = 785,919,173.06
  5. Step 5: Solve for x
    x = 785,919,173.06/20,484.75
  6. Step 6: Final answer
    x = 38,366.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.