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Finding the Third Proportional to 11,013.75 and 15,693.75

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Solution

The third proportional to 11,013.75 and 15,693.75 is: 22,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.75 : 15,693.75 = 15,693.75 : x
  2. Step 2: Convert to fraction form
    11,013.75/15,693.75 = 15,693.75/x
  3. Step 3: Cross multiply
    11,013.75x = 15,693.75 × 15,693.75
  4. Step 4: Simplify right side
    11,013.75x = 246,293,789.06
  5. Step 5: Solve for x
    x = 246,293,789.06/11,013.75
  6. Step 6: Final answer
    x = 22,362.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.