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Finding the Third Proportional to 19,733.63 and 43,621.88

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Solution

The third proportional to 19,733.63 and 43,621.88 is: 96,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,733.63 : 43,621.88 = 43,621.88 : x
  2. Step 2: Convert to fraction form
    19,733.63/43,621.88 = 43,621.88/x
  3. Step 3: Cross multiply
    19,733.63x = 43,621.88 × 43,621.88
  4. Step 4: Simplify right side
    19,733.63x = 1,902,867,978.52
  5. Step 5: Solve for x
    x = 1,902,867,978.52/19,733.63
  6. Step 6: Final answer
    x = 96,427.70

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.