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Finding the Third Proportional to 19,914.19 and 43,451.44

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Solution

The third proportional to 19,914.19 and 43,451.44 is: 94,808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,914.19 : 43,451.44 = 43,451.44 : x
  2. Step 2: Convert to fraction form
    19,914.19/43,451.44 = 43,451.44/x
  3. Step 3: Cross multiply
    19,914.19x = 43,451.44 × 43,451.44
  4. Step 4: Simplify right side
    19,914.19x = 1,888,027,420.82
  5. Step 5: Solve for x
    x = 1,888,027,420.82/19,914.19
  6. Step 6: Final answer
    x = 94,808.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.