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Finding the Third Proportional to 36,402 and 54,859

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Solution

The third proportional to 36,402 and 54,859 is: 82,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,402 : 54,859 = 54,859 : x
  2. Step 2: Convert to fraction form
    36,402/54,859 = 54,859/x
  3. Step 3: Cross multiply
    36,402x = 54,859 × 54,859
  4. Step 4: Simplify right side
    36,402x = 3,009,509,881
  5. Step 5: Solve for x
    x = 3,009,509,881/36,402
  6. Step 6: Final answer
    x = 82,674.30

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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.