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Finding the Third Proportional to 7,853 and 16,786

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Solution

The third proportional to 7,853 and 16,786 is: 35,880.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853 : 16,786 = 16,786 : x
  2. Step 2: Convert to fraction form
    7,853/16,786 = 16,786/x
  3. Step 3: Cross multiply
    7,853x = 16,786 × 16,786
  4. Step 4: Simplify right side
    7,853x = 281,769,796
  5. Step 5: Solve for x
    x = 281,769,796/7,853
  6. Step 6: Final answer
    x = 35,880.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.