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Finding the Third Proportional to 9,399 and 13,653.75

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Solution

The third proportional to 9,399 and 13,653.75 is: 19,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399 : 13,653.75 = 13,653.75 : x
  2. Step 2: Convert to fraction form
    9,399/13,653.75 = 13,653.75/x
  3. Step 3: Cross multiply
    9,399x = 13,653.75 × 13,653.75
  4. Step 4: Simplify right side
    9,399x = 186,424,889.06
  5. Step 5: Solve for x
    x = 186,424,889.06/9,399
  6. Step 6: Final answer
    x = 19,834.55

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.