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Finding the Third Proportional to 9,317.25 and 13,034.25

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Solution

The third proportional to 9,317.25 and 13,034.25 is: 18,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.25 : 13,034.25 = 13,034.25 : x
  2. Step 2: Convert to fraction form
    9,317.25/13,034.25 = 13,034.25/x
  3. Step 3: Cross multiply
    9,317.25x = 13,034.25 × 13,034.25
  4. Step 4: Simplify right side
    9,317.25x = 169,891,673.06
  5. Step 5: Solve for x
    x = 169,891,673.06/9,317.25
  6. Step 6: Final answer
    x = 18,234.10

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Why These Related Problems?

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