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Finding the Third Proportional to 39,464 and 82,576

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Solution

The third proportional to 39,464 and 82,576 is: 172,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,464 : 82,576 = 82,576 : x
  2. Step 2: Convert to fraction form
    39,464/82,576 = 82,576/x
  3. Step 3: Cross multiply
    39,464x = 82,576 × 82,576
  4. Step 4: Simplify right side
    39,464x = 6,818,795,776
  5. Step 5: Solve for x
    x = 6,818,795,776/39,464
  6. Step 6: Final answer
    x = 172,785.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.