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Finding the Third Proportional to 12,991.50 and 21,471.75

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Solution

The third proportional to 12,991.50 and 21,471.75 is: 35,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.50 : 21,471.75 = 21,471.75 : x
  2. Step 2: Convert to fraction form
    12,991.50/21,471.75 = 21,471.75/x
  3. Step 3: Cross multiply
    12,991.50x = 21,471.75 × 21,471.75
  4. Step 4: Simplify right side
    12,991.50x = 461,036,048.06
  5. Step 5: Solve for x
    x = 461,036,048.06/12,991.50
  6. Step 6: Final answer
    x = 35,487.51

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.