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Finding the Third Proportional to 11,429.44 and 17,266.50

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Solution

The third proportional to 11,429.44 and 17,266.50 is: 26,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.44 : 17,266.50 = 17,266.50 : x
  2. Step 2: Convert to fraction form
    11,429.44/17,266.50 = 17,266.50/x
  3. Step 3: Cross multiply
    11,429.44x = 17,266.50 × 17,266.50
  4. Step 4: Simplify right side
    11,429.44x = 298,132,022.25
  5. Step 5: Solve for x
    x = 298,132,022.25/11,429.44
  6. Step 6: Final answer
    x = 26,084.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.