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Finding the Third Proportional to 36,460 and 55,266

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Solution

The third proportional to 36,460 and 55,266 is: 83,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,460 : 55,266 = 55,266 : x
  2. Step 2: Convert to fraction form
    36,460/55,266 = 55,266/x
  3. Step 3: Cross multiply
    36,460x = 55,266 × 55,266
  4. Step 4: Simplify right side
    36,460x = 3,054,330,756
  5. Step 5: Solve for x
    x = 3,054,330,756/36,460
  6. Step 6: Final answer
    x = 83,772.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.