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Finding the Third Proportional to 9,404.25 and 13,146.25

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Solution

The third proportional to 9,404.25 and 13,146.25 is: 18,377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.25 : 13,146.25 = 13,146.25 : x
  2. Step 2: Convert to fraction form
    9,404.25/13,146.25 = 13,146.25/x
  3. Step 3: Cross multiply
    9,404.25x = 13,146.25 × 13,146.25
  4. Step 4: Simplify right side
    9,404.25x = 172,823,889.06
  5. Step 5: Solve for x
    x = 172,823,889.06/9,404.25
  6. Step 6: Final answer
    x = 18,377.21

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.