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Finding the Third Proportional to 36,818 and 52,057

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Solution

The third proportional to 36,818 and 52,057 is: 73,603.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,818 : 52,057 = 52,057 : x
  2. Step 2: Convert to fraction form
    36,818/52,057 = 52,057/x
  3. Step 3: Cross multiply
    36,818x = 52,057 × 52,057
  4. Step 4: Simplify right side
    36,818x = 2,709,931,249
  5. Step 5: Solve for x
    x = 2,709,931,249/36,818
  6. Step 6: Final answer
    x = 73,603.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.