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Finding the Third Proportional to 38,856 and 58,587.75

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Solution

The third proportional to 38,856 and 58,587.75 is: 88,339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,856 : 58,587.75 = 58,587.75 : x
  2. Step 2: Convert to fraction form
    38,856/58,587.75 = 58,587.75/x
  3. Step 3: Cross multiply
    38,856x = 58,587.75 × 58,587.75
  4. Step 4: Simplify right side
    38,856x = 3,432,524,450.06
  5. Step 5: Solve for x
    x = 3,432,524,450.06/38,856
  6. Step 6: Final answer
    x = 88,339.62

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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.