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Finding the Third Proportional to 36,440 and 55,416

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Solution

The third proportional to 36,440 and 55,416 is: 84,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,440 : 55,416 = 55,416 : x
  2. Step 2: Convert to fraction form
    36,440/55,416 = 55,416/x
  3. Step 3: Cross multiply
    36,440x = 55,416 × 55,416
  4. Step 4: Simplify right side
    36,440x = 3,070,933,056
  5. Step 5: Solve for x
    x = 3,070,933,056/36,440
  6. Step 6: Final answer
    x = 84,273.68

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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.