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Finding the Third Proportional to 4,175.25 and 9,709.13

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Solution

The third proportional to 4,175.25 and 9,709.13 is: 22,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.25 : 9,709.13 = 9,709.13 : x
  2. Step 2: Convert to fraction form
    4,175.25/9,709.13 = 9,709.13/x
  3. Step 3: Cross multiply
    4,175.25x = 9,709.13 × 9,709.13
  4. Step 4: Simplify right side
    4,175.25x = 94,267,108.27
  5. Step 5: Solve for x
    x = 94,267,108.27/4,175.25
  6. Step 6: Final answer
    x = 22,577.60

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.