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Finding the Third Proportional to 39,014.75 and 92,042.25

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Solution

The third proportional to 39,014.75 and 92,042.25 is: 217,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,014.75 : 92,042.25 = 92,042.25 : x
  2. Step 2: Convert to fraction form
    39,014.75/92,042.25 = 92,042.25/x
  3. Step 3: Cross multiply
    39,014.75x = 92,042.25 × 92,042.25
  4. Step 4: Simplify right side
    39,014.75x = 8,471,775,785.06
  5. Step 5: Solve for x
    x = 8,471,775,785.06/39,014.75
  6. Step 6: Final answer
    x = 217,142.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.