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Finding the Third Proportional to 11,482 and 25,147

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Solution

The third proportional to 11,482 and 25,147 is: 55,075.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482 : 25,147 = 25,147 : x
  2. Step 2: Convert to fraction form
    11,482/25,147 = 25,147/x
  3. Step 3: Cross multiply
    11,482x = 25,147 × 25,147
  4. Step 4: Simplify right side
    11,482x = 632,371,609
  5. Step 5: Solve for x
    x = 632,371,609/11,482
  6. Step 6: Final answer
    x = 55,075.04

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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.