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Finding the Third Proportional to 16,827.75 and 18,751.50

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Solution

The third proportional to 16,827.75 and 18,751.50 is: 20,895.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,827.75 : 18,751.50 = 18,751.50 : x
  2. Step 2: Convert to fraction form
    16,827.75/18,751.50 = 18,751.50/x
  3. Step 3: Cross multiply
    16,827.75x = 18,751.50 × 18,751.50
  4. Step 4: Simplify right side
    16,827.75x = 351,618,752.25
  5. Step 5: Solve for x
    x = 351,618,752.25/16,827.75
  6. Step 6: Final answer
    x = 20,895.17

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.