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Finding the Third Proportional to 4,853 and 10,579

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Solution

The third proportional to 4,853 and 10,579 is: 23,061.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853 : 10,579 = 10,579 : x
  2. Step 2: Convert to fraction form
    4,853/10,579 = 10,579/x
  3. Step 3: Cross multiply
    4,853x = 10,579 × 10,579
  4. Step 4: Simplify right side
    4,853x = 111,915,241
  5. Step 5: Solve for x
    x = 111,915,241/4,853
  6. Step 6: Final answer
    x = 23,061.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.