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Finding the Third Proportional to 8,058.45 and 17,307.21

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Solution

The third proportional to 8,058.45 and 17,307.21 is: 37,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,058.45 : 17,307.21 = 17,307.21 : x
  2. Step 2: Convert to fraction form
    8,058.45/17,307.21 = 17,307.21/x
  3. Step 3: Cross multiply
    8,058.45x = 17,307.21 × 17,307.21
  4. Step 4: Simplify right side
    8,058.45x = 299,539,550.44
  5. Step 5: Solve for x
    x = 299,539,550.44/8,058.45
  6. Step 6: Final answer
    x = 37,170.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.