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Finding the Third Proportional to 16,827.75 and 37,023.75

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Solution

The third proportional to 16,827.75 and 37,023.75 is: 81,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,827.75 : 37,023.75 = 37,023.75 : x
  2. Step 2: Convert to fraction form
    16,827.75/37,023.75 = 37,023.75/x
  3. Step 3: Cross multiply
    16,827.75x = 37,023.75 × 37,023.75
  4. Step 4: Simplify right side
    16,827.75x = 1,370,758,064.06
  5. Step 5: Solve for x
    x = 1,370,758,064.06/16,827.75
  6. Step 6: Final answer
    x = 81,458.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.