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Finding the Third Proportional to 36,402 and 55,655

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Solution

The third proportional to 36,402 and 55,655 is: 85,090.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,402 : 55,655 = 55,655 : x
  2. Step 2: Convert to fraction form
    36,402/55,655 = 55,655/x
  3. Step 3: Cross multiply
    36,402x = 55,655 × 55,655
  4. Step 4: Simplify right side
    36,402x = 3,097,479,025
  5. Step 5: Solve for x
    x = 3,097,479,025/36,402
  6. Step 6: Final answer
    x = 85,090.90

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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.