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Finding the Third Proportional to 21,190.36 and 32,830.31

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Solution

The third proportional to 21,190.36 and 32,830.31 is: 50,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,190.36 : 32,830.31 = 32,830.31 : x
  2. Step 2: Convert to fraction form
    21,190.36/32,830.31 = 32,830.31/x
  3. Step 3: Cross multiply
    21,190.36x = 32,830.31 × 32,830.31
  4. Step 4: Simplify right side
    21,190.36x = 1,077,829,418.85
  5. Step 5: Solve for x
    x = 1,077,829,418.85/21,190.36
  6. Step 6: Final answer
    x = 50,864.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.