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Finding the Third Proportional to 21,584.25 and 46,769.63

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Solution

The third proportional to 21,584.25 and 46,769.63 is: 101,342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584.25 : 46,769.63 = 46,769.63 : x
  2. Step 2: Convert to fraction form
    21,584.25/46,769.63 = 46,769.63/x
  3. Step 3: Cross multiply
    21,584.25x = 46,769.63 × 46,769.63
  4. Step 4: Simplify right side
    21,584.25x = 2,187,397,822.64
  5. Step 5: Solve for x
    x = 2,187,397,822.64/21,584.25
  6. Step 6: Final answer
    x = 101,342.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.