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Finding the Third Proportional to 16,758 and 23,083.88

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Solution

The third proportional to 16,758 and 23,083.88 is: 31,797.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,758 : 23,083.88 = 23,083.88 : x
  2. Step 2: Convert to fraction form
    16,758/23,083.88 = 23,083.88/x
  3. Step 3: Cross multiply
    16,758x = 23,083.88 × 23,083.88
  4. Step 4: Simplify right side
    16,758x = 532,865,285.02
  5. Step 5: Solve for x
    x = 532,865,285.02/16,758
  6. Step 6: Final answer
    x = 31,797.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.