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Finding the Third Proportional to 21,664.13 and 31,650.75

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Solution

The third proportional to 21,664.13 and 31,650.75 is: 46,240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664.13 : 31,650.75 = 31,650.75 : x
  2. Step 2: Convert to fraction form
    21,664.13/31,650.75 = 31,650.75/x
  3. Step 3: Cross multiply
    21,664.13x = 31,650.75 × 31,650.75
  4. Step 4: Simplify right side
    21,664.13x = 1,001,769,975.56
  5. Step 5: Solve for x
    x = 1,001,769,975.56/21,664.13
  6. Step 6: Final answer
    x = 46,240.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.