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Finding the Third Proportional to 38,264 and 51,321

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Solution

The third proportional to 38,264 and 51,321 is: 68,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,264 : 51,321 = 51,321 : x
  2. Step 2: Convert to fraction form
    38,264/51,321 = 51,321/x
  3. Step 3: Cross multiply
    38,264x = 51,321 × 51,321
  4. Step 4: Simplify right side
    38,264x = 2,633,845,041
  5. Step 5: Solve for x
    x = 2,633,845,041/38,264
  6. Step 6: Final answer
    x = 68,833.50

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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.