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Finding the Third Proportional to 15,233.06 and 17,382.09

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Solution

The third proportional to 15,233.06 and 17,382.09 is: 19,834.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,233.06 : 17,382.09 = 17,382.09 : x
  2. Step 2: Convert to fraction form
    15,233.06/17,382.09 = 17,382.09/x
  3. Step 3: Cross multiply
    15,233.06x = 17,382.09 × 17,382.09
  4. Step 4: Simplify right side
    15,233.06x = 302,137,183.13
  5. Step 5: Solve for x
    x = 302,137,183.13/15,233.06
  6. Step 6: Final answer
    x = 19,834.30

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.