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Finding the Third Proportional to 38,005 and 57,235.50

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Solution

The third proportional to 38,005 and 57,235.50 is: 86,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,005 : 57,235.50 = 57,235.50 : x
  2. Step 2: Convert to fraction form
    38,005/57,235.50 = 57,235.50/x
  3. Step 3: Cross multiply
    38,005x = 57,235.50 × 57,235.50
  4. Step 4: Simplify right side
    38,005x = 3,275,902,460.25
  5. Step 5: Solve for x
    x = 3,275,902,460.25/38,005
  6. Step 6: Final answer
    x = 86,196.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.