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Finding the Third Proportional to 21,077.63 and 44,103.75

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Solution

The third proportional to 21,077.63 and 44,103.75 is: 92,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.63 : 44,103.75 = 44,103.75 : x
  2. Step 2: Convert to fraction form
    21,077.63/44,103.75 = 44,103.75/x
  3. Step 3: Cross multiply
    21,077.63x = 44,103.75 × 44,103.75
  4. Step 4: Simplify right side
    21,077.63x = 1,945,140,764.06
  5. Step 5: Solve for x
    x = 1,945,140,764.06/21,077.63
  6. Step 6: Final answer
    x = 92,284.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.