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Finding the Third Proportional to 34,230 and 50,159

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Solution

The third proportional to 34,230 and 50,159 is: 73,500.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,230 : 50,159 = 50,159 : x
  2. Step 2: Convert to fraction form
    34,230/50,159 = 50,159/x
  3. Step 3: Cross multiply
    34,230x = 50,159 × 50,159
  4. Step 4: Simplify right side
    34,230x = 2,515,925,281
  5. Step 5: Solve for x
    x = 2,515,925,281/34,230
  6. Step 6: Final answer
    x = 73,500.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.