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Finding the Third Proportional to 27,853.50 and 30,715.50

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Solution

The third proportional to 27,853.50 and 30,715.50 is: 33,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,853.50 : 30,715.50 = 30,715.50 : x
  2. Step 2: Convert to fraction form
    27,853.50/30,715.50 = 30,715.50/x
  3. Step 3: Cross multiply
    27,853.50x = 30,715.50 × 30,715.50
  4. Step 4: Simplify right side
    27,853.50x = 943,441,940.25
  5. Step 5: Solve for x
    x = 943,441,940.25/27,853.50
  6. Step 6: Final answer
    x = 33,871.58

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.