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Finding the Third Proportional to 7,302 and 11,133.75

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Solution

The third proportional to 7,302 and 11,133.75 is: 16,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302 : 11,133.75 = 11,133.75 : x
  2. Step 2: Convert to fraction form
    7,302/11,133.75 = 11,133.75/x
  3. Step 3: Cross multiply
    7,302x = 11,133.75 × 11,133.75
  4. Step 4: Simplify right side
    7,302x = 123,960,389.06
  5. Step 5: Solve for x
    x = 123,960,389.06/7,302
  6. Step 6: Final answer
    x = 16,976.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.