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Finding the Third Proportional to 19,958.63 and 30,687.19

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Solution

The third proportional to 19,958.63 and 30,687.19 is: 47,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,958.63 : 30,687.19 = 30,687.19 : x
  2. Step 2: Convert to fraction form
    19,958.63/30,687.19 = 30,687.19/x
  3. Step 3: Cross multiply
    19,958.63x = 30,687.19 × 30,687.19
  4. Step 4: Simplify right side
    19,958.63x = 941,703,476.66
  5. Step 5: Solve for x
    x = 941,703,476.66/19,958.63
  6. Step 6: Final answer
    x = 47,182.78

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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.