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Finding the Third Proportional to 36,498 and 40,338

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Solution

The third proportional to 36,498 and 40,338 is: 44,582.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,498 : 40,338 = 40,338 : x
  2. Step 2: Convert to fraction form
    36,498/40,338 = 40,338/x
  3. Step 3: Cross multiply
    36,498x = 40,338 × 40,338
  4. Step 4: Simplify right side
    36,498x = 1,627,154,244
  5. Step 5: Solve for x
    x = 1,627,154,244/36,498
  6. Step 6: Final answer
    x = 44,582.01

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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.