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Finding the Third Proportional to 38,465 and 58,211

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Solution

The third proportional to 38,465 and 58,211 is: 88,093.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,465 : 58,211 = 58,211 : x
  2. Step 2: Convert to fraction form
    38,465/58,211 = 58,211/x
  3. Step 3: Cross multiply
    38,465x = 58,211 × 58,211
  4. Step 4: Simplify right side
    38,465x = 3,388,520,521
  5. Step 5: Solve for x
    x = 3,388,520,521/38,465
  6. Step 6: Final answer
    x = 88,093.61

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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.