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Finding the Third Proportional to 16,724.50 and 25,821.75

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Solution

The third proportional to 16,724.50 and 25,821.75 is: 39,867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,724.50 : 25,821.75 = 25,821.75 : x
  2. Step 2: Convert to fraction form
    16,724.50/25,821.75 = 25,821.75/x
  3. Step 3: Cross multiply
    16,724.50x = 25,821.75 × 25,821.75
  4. Step 4: Simplify right side
    16,724.50x = 666,762,773.06
  5. Step 5: Solve for x
    x = 666,762,773.06/16,724.50
  6. Step 6: Final answer
    x = 39,867.43

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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.