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Finding the Third Proportional to 9,057.09 and 19,317.91

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Solution

The third proportional to 9,057.09 and 19,317.91 is: 41,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.09 : 19,317.91 = 19,317.91 : x
  2. Step 2: Convert to fraction form
    9,057.09/19,317.91 = 19,317.91/x
  3. Step 3: Cross multiply
    9,057.09x = 19,317.91 × 19,317.91
  4. Step 4: Simplify right side
    9,057.09x = 373,181,501.88
  5. Step 5: Solve for x
    x = 373,181,501.88/9,057.09
  6. Step 6: Final answer
    x = 41,203.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.