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Finding the Third Proportional to 14,020.31 and 21,550.08

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Solution

The third proportional to 14,020.31 and 21,550.08 is: 33,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020.31 : 21,550.08 = 21,550.08 : x
  2. Step 2: Convert to fraction form
    14,020.31/21,550.08 = 21,550.08/x
  3. Step 3: Cross multiply
    14,020.31x = 21,550.08 × 21,550.08
  4. Step 4: Simplify right side
    14,020.31x = 464,405,867.19
  5. Step 5: Solve for x
    x = 464,405,867.19/14,020.31
  6. Step 6: Final answer
    x = 33,123.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.