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Finding the Third Proportional to 8,535.38 and 11,453.06

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Solution

The third proportional to 8,535.38 and 11,453.06 is: 15,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.38 : 11,453.06 = 11,453.06 : x
  2. Step 2: Convert to fraction form
    8,535.38/11,453.06 = 11,453.06/x
  3. Step 3: Cross multiply
    8,535.38x = 11,453.06 × 11,453.06
  4. Step 4: Simplify right side
    8,535.38x = 131,172,640.63
  5. Step 5: Solve for x
    x = 131,172,640.63/8,535.38
  6. Step 6: Final answer
    x = 15,368.12

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.