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Finding the Third Proportional to 36,264 and 55,472

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Solution

The third proportional to 36,264 and 55,472 is: 84,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,264 : 55,472 = 55,472 : x
  2. Step 2: Convert to fraction form
    36,264/55,472 = 55,472/x
  3. Step 3: Cross multiply
    36,264x = 55,472 × 55,472
  4. Step 4: Simplify right side
    36,264x = 3,077,142,784
  5. Step 5: Solve for x
    x = 3,077,142,784/36,264
  6. Step 6: Final answer
    x = 84,853.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.