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Finding the Third Proportional to 6,527.25 and 16,233.75

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Solution

The third proportional to 6,527.25 and 16,233.75 is: 40,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.25 : 16,233.75 = 16,233.75 : x
  2. Step 2: Convert to fraction form
    6,527.25/16,233.75 = 16,233.75/x
  3. Step 3: Cross multiply
    6,527.25x = 16,233.75 × 16,233.75
  4. Step 4: Simplify right side
    6,527.25x = 263,534,639.06
  5. Step 5: Solve for x
    x = 263,534,639.06/6,527.25
  6. Step 6: Final answer
    x = 40,374.53

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.