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Finding the Third Proportional to 17,823 and 28,032.75

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Solution

The third proportional to 17,823 and 28,032.75 is: 44,091.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823 : 28,032.75 = 28,032.75 : x
  2. Step 2: Convert to fraction form
    17,823/28,032.75 = 28,032.75/x
  3. Step 3: Cross multiply
    17,823x = 28,032.75 × 28,032.75
  4. Step 4: Simplify right side
    17,823x = 785,835,072.56
  5. Step 5: Solve for x
    x = 785,835,072.56/17,823
  6. Step 6: Final answer
    x = 44,091.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.