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Finding the Third Proportional to 4,520 and 10,412

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Solution

The third proportional to 4,520 and 10,412 is: 23,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,520 : 10,412 = 10,412 : x
  2. Step 2: Convert to fraction form
    4,520/10,412 = 10,412/x
  3. Step 3: Cross multiply
    4,520x = 10,412 × 10,412
  4. Step 4: Simplify right side
    4,520x = 108,409,744
  5. Step 5: Solve for x
    x = 108,409,744/4,520
  6. Step 6: Final answer
    x = 23,984.46

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.