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Finding the Third Proportional to 7,090 and 16,741

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Solution

The third proportional to 7,090 and 16,741 is: 39,529.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090 : 16,741 = 16,741 : x
  2. Step 2: Convert to fraction form
    7,090/16,741 = 16,741/x
  3. Step 3: Cross multiply
    7,090x = 16,741 × 16,741
  4. Step 4: Simplify right side
    7,090x = 280,261,081
  5. Step 5: Solve for x
    x = 280,261,081/7,090
  6. Step 6: Final answer
    x = 39,529.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.