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Finding the Third Proportional to 36,172 and 54,768

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Solution

The third proportional to 36,172 and 54,768 is: 82,924.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,172 : 54,768 = 54,768 : x
  2. Step 2: Convert to fraction form
    36,172/54,768 = 54,768/x
  3. Step 3: Cross multiply
    36,172x = 54,768 × 54,768
  4. Step 4: Simplify right side
    36,172x = 2,999,533,824
  5. Step 5: Solve for x
    x = 2,999,533,824/36,172
  6. Step 6: Final answer
    x = 82,924.19

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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.