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Finding the Third Proportional to 36,499 and 40,339

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Solution

The third proportional to 36,499 and 40,339 is: 44,583.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,499 : 40,339 = 40,339 : x
  2. Step 2: Convert to fraction form
    36,499/40,339 = 40,339/x
  3. Step 3: Cross multiply
    36,499x = 40,339 × 40,339
  4. Step 4: Simplify right side
    36,499x = 1,627,234,921
  5. Step 5: Solve for x
    x = 1,627,234,921/36,499
  6. Step 6: Final answer
    x = 44,583.00

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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.