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Finding the Third Proportional to 36,348 and 51,546

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Solution

The third proportional to 36,348 and 51,546 is: 73,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,348 : 51,546 = 51,546 : x
  2. Step 2: Convert to fraction form
    36,348/51,546 = 51,546/x
  3. Step 3: Cross multiply
    36,348x = 51,546 × 51,546
  4. Step 4: Simplify right side
    36,348x = 2,656,990,116
  5. Step 5: Solve for x
    x = 2,656,990,116/36,348
  6. Step 6: Final answer
    x = 73,098.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.