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Finding the Third Proportional to 4,661 and 10,013

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Solution

The third proportional to 4,661 and 10,013 is: 21,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661 : 10,013 = 10,013 : x
  2. Step 2: Convert to fraction form
    4,661/10,013 = 10,013/x
  3. Step 3: Cross multiply
    4,661x = 10,013 × 10,013
  4. Step 4: Simplify right side
    4,661x = 100,260,169
  5. Step 5: Solve for x
    x = 100,260,169/4,661
  6. Step 6: Final answer
    x = 21,510.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.