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Finding the Third Proportional to 7,100 and 16,586

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Solution

The third proportional to 7,100 and 16,586 is: 38,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100 : 16,586 = 16,586 : x
  2. Step 2: Convert to fraction form
    7,100/16,586 = 16,586/x
  3. Step 3: Cross multiply
    7,100x = 16,586 × 16,586
  4. Step 4: Simplify right side
    7,100x = 275,095,396
  5. Step 5: Solve for x
    x = 275,095,396/7,100
  6. Step 6: Final answer
    x = 38,745.83

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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.