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Finding the Third Proportional to 7,486 and 17,497

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Solution

The third proportional to 7,486 and 17,497 is: 40,895.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486 : 17,497 = 17,497 : x
  2. Step 2: Convert to fraction form
    7,486/17,497 = 17,497/x
  3. Step 3: Cross multiply
    7,486x = 17,497 × 17,497
  4. Step 4: Simplify right side
    7,486x = 306,145,009
  5. Step 5: Solve for x
    x = 306,145,009/7,486
  6. Step 6: Final answer
    x = 40,895.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.