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Finding the Third Proportional to 9,389.75 and 13,126.75

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Solution

The third proportional to 9,389.75 and 13,126.75 is: 18,351.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.75 : 13,126.75 = 13,126.75 : x
  2. Step 2: Convert to fraction form
    9,389.75/13,126.75 = 13,126.75/x
  3. Step 3: Cross multiply
    9,389.75x = 13,126.75 × 13,126.75
  4. Step 4: Simplify right side
    9,389.75x = 172,311,565.56
  5. Step 5: Solve for x
    x = 172,311,565.56/9,389.75
  6. Step 6: Final answer
    x = 18,351.03

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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.