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Finding the Third Proportional to 36,513 and 40,353

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Solution

The third proportional to 36,513 and 40,353 is: 44,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,513 : 40,353 = 40,353 : x
  2. Step 2: Convert to fraction form
    36,513/40,353 = 40,353/x
  3. Step 3: Cross multiply
    36,513x = 40,353 × 40,353
  4. Step 4: Simplify right side
    36,513x = 1,628,364,609
  5. Step 5: Solve for x
    x = 1,628,364,609/36,513
  6. Step 6: Final answer
    x = 44,596.85

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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.