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Finding the Third Proportional to 41,094 and 87,483.38

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Solution

The third proportional to 41,094 and 87,483.38 is: 186,239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,094 : 87,483.38 = 87,483.38 : x
  2. Step 2: Convert to fraction form
    41,094/87,483.38 = 87,483.38/x
  3. Step 3: Cross multiply
    41,094x = 87,483.38 × 87,483.38
  4. Step 4: Simplify right side
    41,094x = 7,653,340,901.39
  5. Step 5: Solve for x
    x = 7,653,340,901.39/41,094
  6. Step 6: Final answer
    x = 186,239.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.