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Finding the Third Proportional to 11,314.75 and 17,501.75

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Solution

The third proportional to 11,314.75 and 17,501.75 is: 27,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.75 : 17,501.75 = 17,501.75 : x
  2. Step 2: Convert to fraction form
    11,314.75/17,501.75 = 17,501.75/x
  3. Step 3: Cross multiply
    11,314.75x = 17,501.75 × 17,501.75
  4. Step 4: Simplify right side
    11,314.75x = 306,311,253.06
  5. Step 5: Solve for x
    x = 306,311,253.06/11,314.75
  6. Step 6: Final answer
    x = 27,071.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.