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Finding the Third Proportional to 11,583 and 17,371.97

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Solution

The third proportional to 11,583 and 17,371.97 is: 26,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583 : 17,371.97 = 17,371.97 : x
  2. Step 2: Convert to fraction form
    11,583/17,371.97 = 17,371.97/x
  3. Step 3: Cross multiply
    11,583x = 17,371.97 × 17,371.97
  4. Step 4: Simplify right side
    11,583x = 301,785,298.25
  5. Step 5: Solve for x
    x = 301,785,298.25/11,583
  6. Step 6: Final answer
    x = 26,054.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.