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Finding the Third Proportional to 38,054 and 78,760

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Solution

The third proportional to 38,054 and 78,760 is: 163,008.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,054 : 78,760 = 78,760 : x
  2. Step 2: Convert to fraction form
    38,054/78,760 = 78,760/x
  3. Step 3: Cross multiply
    38,054x = 78,760 × 78,760
  4. Step 4: Simplify right side
    38,054x = 6,203,137,600
  5. Step 5: Solve for x
    x = 6,203,137,600/38,054
  6. Step 6: Final answer
    x = 163,008.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.