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Finding the Third Proportional to 11,117.25 and 17,701.03

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Solution

The third proportional to 11,117.25 and 17,701.03 is: 28,183.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,117.25 : 17,701.03 = 17,701.03 : x
  2. Step 2: Convert to fraction form
    11,117.25/17,701.03 = 17,701.03/x
  3. Step 3: Cross multiply
    11,117.25x = 17,701.03 × 17,701.03
  4. Step 4: Simplify right side
    11,117.25x = 313,326,507.31
  5. Step 5: Solve for x
    x = 313,326,507.31/11,117.25
  6. Step 6: Final answer
    x = 28,183.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.