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Finding the Third Proportional to 10,917.91 and 17,256.26

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Solution

The third proportional to 10,917.91 and 17,256.26 is: 27,274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.91 : 17,256.26 = 17,256.26 : x
  2. Step 2: Convert to fraction form
    10,917.91/17,256.26 = 17,256.26/x
  3. Step 3: Cross multiply
    10,917.91x = 17,256.26 × 17,256.26
  4. Step 4: Simplify right side
    10,917.91x = 297,778,610.64
  5. Step 5: Solve for x
    x = 297,778,610.64/10,917.91
  6. Step 6: Final answer
    x = 27,274.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.