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Finding the Third Proportional to 36,132 and 53,926

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Solution

The third proportional to 36,132 and 53,926 is: 80,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,132 : 53,926 = 53,926 : x
  2. Step 2: Convert to fraction form
    36,132/53,926 = 53,926/x
  3. Step 3: Cross multiply
    36,132x = 53,926 × 53,926
  4. Step 4: Simplify right side
    36,132x = 2,908,013,476
  5. Step 5: Solve for x
    x = 2,908,013,476/36,132
  6. Step 6: Final answer
    x = 80,483.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.