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Finding the Third Proportional to 36,126 and 53,877

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Solution

The third proportional to 36,126 and 53,877 is: 80,350.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,126 : 53,877 = 53,877 : x
  2. Step 2: Convert to fraction form
    36,126/53,877 = 53,877/x
  3. Step 3: Cross multiply
    36,126x = 53,877 × 53,877
  4. Step 4: Simplify right side
    36,126x = 2,902,731,129
  5. Step 5: Solve for x
    x = 2,902,731,129/36,126
  6. Step 6: Final answer
    x = 80,350.19

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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.