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Finding the Third Proportional to 36,390 and 46,809

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Solution

The third proportional to 36,390 and 46,809 is: 60,211.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,390 : 46,809 = 46,809 : x
  2. Step 2: Convert to fraction form
    36,390/46,809 = 46,809/x
  3. Step 3: Cross multiply
    36,390x = 46,809 × 46,809
  4. Step 4: Simplify right side
    36,390x = 2,191,082,481
  5. Step 5: Solve for x
    x = 2,191,082,481/36,390
  6. Step 6: Final answer
    x = 60,211.12

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.