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Finding the Third Proportional to 34,368 and 50,318

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Solution

The third proportional to 34,368 and 50,318 is: 73,670.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,368 : 50,318 = 50,318 : x
  2. Step 2: Convert to fraction form
    34,368/50,318 = 50,318/x
  3. Step 3: Cross multiply
    34,368x = 50,318 × 50,318
  4. Step 4: Simplify right side
    34,368x = 2,531,901,124
  5. Step 5: Solve for x
    x = 2,531,901,124/34,368
  6. Step 6: Final answer
    x = 73,670.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.