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Finding the Third Proportional to 38,704 and 83,024

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Solution

The third proportional to 38,704 and 83,024 is: 178,094.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,704 : 83,024 = 83,024 : x
  2. Step 2: Convert to fraction form
    38,704/83,024 = 83,024/x
  3. Step 3: Cross multiply
    38,704x = 83,024 × 83,024
  4. Step 4: Simplify right side
    38,704x = 6,892,984,576
  5. Step 5: Solve for x
    x = 6,892,984,576/38,704
  6. Step 6: Final answer
    x = 178,094.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.