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Finding the Third Proportional to 11,452 and 25,090

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Solution

The third proportional to 11,452 and 25,090 is: 54,969.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452 : 25,090 = 25,090 : x
  2. Step 2: Convert to fraction form
    11,452/25,090 = 25,090/x
  3. Step 3: Cross multiply
    11,452x = 25,090 × 25,090
  4. Step 4: Simplify right side
    11,452x = 629,508,100
  5. Step 5: Solve for x
    x = 629,508,100/11,452
  6. Step 6: Final answer
    x = 54,969.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.