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Finding the Third Proportional to 11,148.75 and 17,518.50

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Solution

The third proportional to 11,148.75 and 17,518.50 is: 27,527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,148.75 : 17,518.50 = 17,518.50 : x
  2. Step 2: Convert to fraction form
    11,148.75/17,518.50 = 17,518.50/x
  3. Step 3: Cross multiply
    11,148.75x = 17,518.50 × 17,518.50
  4. Step 4: Simplify right side
    11,148.75x = 306,897,842.25
  5. Step 5: Solve for x
    x = 306,897,842.25/11,148.75
  6. Step 6: Final answer
    x = 27,527.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.