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Finding the Third Proportional to 11,140.03 and 17,026.14

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Solution

The third proportional to 11,140.03 and 17,026.14 is: 26,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140.03 : 17,026.14 = 17,026.14 : x
  2. Step 2: Convert to fraction form
    11,140.03/17,026.14 = 17,026.14/x
  3. Step 3: Cross multiply
    11,140.03x = 17,026.14 × 17,026.14
  4. Step 4: Simplify right side
    11,140.03x = 289,889,331.57
  5. Step 5: Solve for x
    x = 289,889,331.57/11,140.03
  6. Step 6: Final answer
    x = 26,022.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.