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Finding the Third Proportional to 27,318 and 55,638.50

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Solution

The third proportional to 27,318 and 55,638.50 is: 113,318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,318 : 55,638.50 = 55,638.50 : x
  2. Step 2: Convert to fraction form
    27,318/55,638.50 = 55,638.50/x
  3. Step 3: Cross multiply
    27,318x = 55,638.50 × 55,638.50
  4. Step 4: Simplify right side
    27,318x = 3,095,642,682.25
  5. Step 5: Solve for x
    x = 3,095,642,682.25/27,318
  6. Step 6: Final answer
    x = 113,318.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.