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Finding the Third Proportional to 4,563 and 10,017

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Solution

The third proportional to 4,563 and 10,017 is: 21,989.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563 : 10,017 = 10,017 : x
  2. Step 2: Convert to fraction form
    4,563/10,017 = 10,017/x
  3. Step 3: Cross multiply
    4,563x = 10,017 × 10,017
  4. Step 4: Simplify right side
    4,563x = 100,340,289
  5. Step 5: Solve for x
    x = 100,340,289/4,563
  6. Step 6: Final answer
    x = 21,989.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.