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Finding the Third Proportional to 25,469 and 56,015

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Solution

The third proportional to 25,469 and 56,015 is: 123,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,469 : 56,015 = 56,015 : x
  2. Step 2: Convert to fraction form
    25,469/56,015 = 56,015/x
  3. Step 3: Cross multiply
    25,469x = 56,015 × 56,015
  4. Step 4: Simplify right side
    25,469x = 3,137,680,225
  5. Step 5: Solve for x
    x = 3,137,680,225/25,469
  6. Step 6: Final answer
    x = 123,196.05

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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.