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Finding the Third Proportional to 9,299.25 and 13,538.25

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Solution

The third proportional to 9,299.25 and 13,538.25 is: 19,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.25 : 13,538.25 = 13,538.25 : x
  2. Step 2: Convert to fraction form
    9,299.25/13,538.25 = 13,538.25/x
  3. Step 3: Cross multiply
    9,299.25x = 13,538.25 × 13,538.25
  4. Step 4: Simplify right side
    9,299.25x = 183,284,213.06
  5. Step 5: Solve for x
    x = 183,284,213.06/9,299.25
  6. Step 6: Final answer
    x = 19,709.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.