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Finding the Third Proportional to 7,302 and 11,574

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Solution

The third proportional to 7,302 and 11,574 is: 18,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302 : 11,574 = 11,574 : x
  2. Step 2: Convert to fraction form
    7,302/11,574 = 11,574/x
  3. Step 3: Cross multiply
    7,302x = 11,574 × 11,574
  4. Step 4: Simplify right side
    7,302x = 133,957,476
  5. Step 5: Solve for x
    x = 133,957,476/7,302
  6. Step 6: Final answer
    x = 18,345.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.