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Finding the Third Proportional to 13,219.50 and 27,528

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Solution

The third proportional to 13,219.50 and 27,528 is: 57,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.50 : 27,528 = 27,528 : x
  2. Step 2: Convert to fraction form
    13,219.50/27,528 = 27,528/x
  3. Step 3: Cross multiply
    13,219.50x = 27,528 × 27,528
  4. Step 4: Simplify right side
    13,219.50x = 757,790,784
  5. Step 5: Solve for x
    x = 757,790,784/13,219.50
  6. Step 6: Final answer
    x = 57,323.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.