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Finding the Third Proportional to 36,926 and 55,431

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Solution

The third proportional to 36,926 and 55,431 is: 83,209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,926 : 55,431 = 55,431 : x
  2. Step 2: Convert to fraction form
    36,926/55,431 = 55,431/x
  3. Step 3: Cross multiply
    36,926x = 55,431 × 55,431
  4. Step 4: Simplify right side
    36,926x = 3,072,595,761
  5. Step 5: Solve for x
    x = 3,072,595,761/36,926
  6. Step 6: Final answer
    x = 83,209.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.