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Finding the Third Proportional to 38,370 and 51,003

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Solution

The third proportional to 38,370 and 51,003 is: 67,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,370 : 51,003 = 51,003 : x
  2. Step 2: Convert to fraction form
    38,370/51,003 = 51,003/x
  3. Step 3: Cross multiply
    38,370x = 51,003 × 51,003
  4. Step 4: Simplify right side
    38,370x = 2,601,306,009
  5. Step 5: Solve for x
    x = 2,601,306,009/38,370
  6. Step 6: Final answer
    x = 67,795.31

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.