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Finding the Third Proportional to 34,318 and 54,803

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Solution

The third proportional to 34,318 and 54,803 is: 87,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,318 : 54,803 = 54,803 : x
  2. Step 2: Convert to fraction form
    34,318/54,803 = 54,803/x
  3. Step 3: Cross multiply
    34,318x = 54,803 × 54,803
  4. Step 4: Simplify right side
    34,318x = 3,003,368,809
  5. Step 5: Solve for x
    x = 3,003,368,809/34,318
  6. Step 6: Final answer
    x = 87,515.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.