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Finding the Third Proportional to 24,576 and 55,632

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Solution

The third proportional to 24,576 and 55,632 is: 125,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576 : 55,632 = 55,632 : x
  2. Step 2: Convert to fraction form
    24,576/55,632 = 55,632/x
  3. Step 3: Cross multiply
    24,576x = 55,632 × 55,632
  4. Step 4: Simplify right side
    24,576x = 3,094,919,424
  5. Step 5: Solve for x
    x = 3,094,919,424/24,576
  6. Step 6: Final answer
    x = 125,932.59

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.