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Finding the Third Proportional to 36,216 and 54,708

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Solution

The third proportional to 36,216 and 54,708 is: 82,642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,216 : 54,708 = 54,708 : x
  2. Step 2: Convert to fraction form
    36,216/54,708 = 54,708/x
  3. Step 3: Cross multiply
    36,216x = 54,708 × 54,708
  4. Step 4: Simplify right side
    36,216x = 2,992,965,264
  5. Step 5: Solve for x
    x = 2,992,965,264/36,216
  6. Step 6: Final answer
    x = 82,642.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.