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Finding the Third Proportional to 34,330 and 50,482

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Solution

The third proportional to 34,330 and 50,482 is: 74,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,330 : 50,482 = 50,482 : x
  2. Step 2: Convert to fraction form
    34,330/50,482 = 50,482/x
  3. Step 3: Cross multiply
    34,330x = 50,482 × 50,482
  4. Step 4: Simplify right side
    34,330x = 2,548,432,324
  5. Step 5: Solve for x
    x = 2,548,432,324/34,330
  6. Step 6: Final answer
    x = 74,233.39

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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.