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Finding the Third Proportional to 36,424 and 78,576

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Solution

The third proportional to 36,424 and 78,576 is: 169,508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,424 : 78,576 = 78,576 : x
  2. Step 2: Convert to fraction form
    36,424/78,576 = 78,576/x
  3. Step 3: Cross multiply
    36,424x = 78,576 × 78,576
  4. Step 4: Simplify right side
    36,424x = 6,174,187,776
  5. Step 5: Solve for x
    x = 6,174,187,776/36,424
  6. Step 6: Final answer
    x = 169,508.78

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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.