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Finding the Third Proportional to 36,249 and 51,046

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Solution

The third proportional to 36,249 and 51,046 is: 71,883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,249 : 51,046 = 51,046 : x
  2. Step 2: Convert to fraction form
    36,249/51,046 = 51,046/x
  3. Step 3: Cross multiply
    36,249x = 51,046 × 51,046
  4. Step 4: Simplify right side
    36,249x = 2,605,694,116
  5. Step 5: Solve for x
    x = 2,605,694,116/36,249
  6. Step 6: Final answer
    x = 71,883.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.