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Finding the Third Proportional to 5,285.75 and 11,513.25

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Solution

The third proportional to 5,285.75 and 11,513.25 is: 25,077.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.75 : 11,513.25 = 11,513.25 : x
  2. Step 2: Convert to fraction form
    5,285.75/11,513.25 = 11,513.25/x
  3. Step 3: Cross multiply
    5,285.75x = 11,513.25 × 11,513.25
  4. Step 4: Simplify right side
    5,285.75x = 132,554,925.56
  5. Step 5: Solve for x
    x = 132,554,925.56/5,285.75
  6. Step 6: Final answer
    x = 25,077.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.