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Finding the Third Proportional to 36,509 and 40,349

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Solution

The third proportional to 36,509 and 40,349 is: 44,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,509 : 40,349 = 40,349 : x
  2. Step 2: Convert to fraction form
    36,509/40,349 = 40,349/x
  3. Step 3: Cross multiply
    36,509x = 40,349 × 40,349
  4. Step 4: Simplify right side
    36,509x = 1,628,041,801
  5. Step 5: Solve for x
    x = 1,628,041,801/36,509
  6. Step 6: Final answer
    x = 44,592.89

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.