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Finding the Third Proportional to 13,493.25 and 27,526.50

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Solution

The third proportional to 13,493.25 and 27,526.50 is: 56,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.25 : 27,526.50 = 27,526.50 : x
  2. Step 2: Convert to fraction form
    13,493.25/27,526.50 = 27,526.50/x
  3. Step 3: Cross multiply
    13,493.25x = 27,526.50 × 27,526.50
  4. Step 4: Simplify right side
    13,493.25x = 757,708,202.25
  5. Step 5: Solve for x
    x = 757,708,202.25/13,493.25
  6. Step 6: Final answer
    x = 56,154.61

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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.