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Finding the Third Proportional to 36,810 and 49,483

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Solution

The third proportional to 36,810 and 49,483 is: 66,519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,810 : 49,483 = 49,483 : x
  2. Step 2: Convert to fraction form
    36,810/49,483 = 49,483/x
  3. Step 3: Cross multiply
    36,810x = 49,483 × 49,483
  4. Step 4: Simplify right side
    36,810x = 2,448,567,289
  5. Step 5: Solve for x
    x = 2,448,567,289/36,810
  6. Step 6: Final answer
    x = 66,519.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.