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Finding the Third Proportional to 25,482 and 56,149

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Solution

The third proportional to 25,482 and 56,149 is: 123,723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,482 : 56,149 = 56,149 : x
  2. Step 2: Convert to fraction form
    25,482/56,149 = 56,149/x
  3. Step 3: Cross multiply
    25,482x = 56,149 × 56,149
  4. Step 4: Simplify right side
    25,482x = 3,152,710,201
  5. Step 5: Solve for x
    x = 3,152,710,201/25,482
  6. Step 6: Final answer
    x = 123,723.03

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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.