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Finding the Third Proportional to 11,473 and 25,201

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Solution

The third proportional to 11,473 and 25,201 is: 55,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473 : 25,201 = 25,201 : x
  2. Step 2: Convert to fraction form
    11,473/25,201 = 25,201/x
  3. Step 3: Cross multiply
    11,473x = 25,201 × 25,201
  4. Step 4: Simplify right side
    11,473x = 635,090,401
  5. Step 5: Solve for x
    x = 635,090,401/11,473
  6. Step 6: Final answer
    x = 55,355.22

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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.