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Finding the Third Proportional to 36,362 and 55,263

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Solution

The third proportional to 36,362 and 55,263 is: 83,988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,362 : 55,263 = 55,263 : x
  2. Step 2: Convert to fraction form
    36,362/55,263 = 55,263/x
  3. Step 3: Cross multiply
    36,362x = 55,263 × 55,263
  4. Step 4: Simplify right side
    36,362x = 3,053,999,169
  5. Step 5: Solve for x
    x = 3,053,999,169/36,362
  6. Step 6: Final answer
    x = 83,988.76

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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.