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Finding the Third Proportional to 36,274 and 51,347

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Solution

The third proportional to 36,274 and 51,347 is: 72,683.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,274 : 51,347 = 51,347 : x
  2. Step 2: Convert to fraction form
    36,274/51,347 = 51,347/x
  3. Step 3: Cross multiply
    36,274x = 51,347 × 51,347
  4. Step 4: Simplify right side
    36,274x = 2,636,514,409
  5. Step 5: Solve for x
    x = 2,636,514,409/36,274
  6. Step 6: Final answer
    x = 72,683.31

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