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Finding the Third Proportional to 36,384 and 49,788

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Solution

The third proportional to 36,384 and 49,788 is: 68,130.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,384 : 49,788 = 49,788 : x
  2. Step 2: Convert to fraction form
    36,384/49,788 = 49,788/x
  3. Step 3: Cross multiply
    36,384x = 49,788 × 49,788
  4. Step 4: Simplify right side
    36,384x = 2,478,844,944
  5. Step 5: Solve for x
    x = 2,478,844,944/36,384
  6. Step 6: Final answer
    x = 68,130.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.