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Finding the Third Proportional to 16,911 and 25,269.75

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Solution

The third proportional to 16,911 and 25,269.75 is: 37,760.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,911 : 25,269.75 = 25,269.75 : x
  2. Step 2: Convert to fraction form
    16,911/25,269.75 = 25,269.75/x
  3. Step 3: Cross multiply
    16,911x = 25,269.75 × 25,269.75
  4. Step 4: Simplify right side
    16,911x = 638,560,265.06
  5. Step 5: Solve for x
    x = 638,560,265.06/16,911
  6. Step 6: Final answer
    x = 37,760.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.