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Finding the Third Proportional to 36,316 and 55,530

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Solution

The third proportional to 36,316 and 55,530 is: 84,909.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,316 : 55,530 = 55,530 : x
  2. Step 2: Convert to fraction form
    36,316/55,530 = 55,530/x
  3. Step 3: Cross multiply
    36,316x = 55,530 × 55,530
  4. Step 4: Simplify right side
    36,316x = 3,083,580,900
  5. Step 5: Solve for x
    x = 3,083,580,900/36,316
  6. Step 6: Final answer
    x = 84,909.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.