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Finding the Third Proportional to 38,340 and 58,050

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Solution

The third proportional to 38,340 and 58,050 is: 87,892.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,340 : 58,050 = 58,050 : x
  2. Step 2: Convert to fraction form
    38,340/58,050 = 58,050/x
  3. Step 3: Cross multiply
    38,340x = 58,050 × 58,050
  4. Step 4: Simplify right side
    38,340x = 3,369,802,500
  5. Step 5: Solve for x
    x = 3,369,802,500/38,340
  6. Step 6: Final answer
    x = 87,892.61

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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.