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Finding the Third Proportional to 38,038 and 82,090.50

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Solution

The third proportional to 38,038 and 82,090.50 is: 177,161.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,038 : 82,090.50 = 82,090.50 : x
  2. Step 2: Convert to fraction form
    38,038/82,090.50 = 82,090.50/x
  3. Step 3: Cross multiply
    38,038x = 82,090.50 × 82,090.50
  4. Step 4: Simplify right side
    38,038x = 6,738,850,190.25
  5. Step 5: Solve for x
    x = 6,738,850,190.25/38,038
  6. Step 6: Final answer
    x = 177,161.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.