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Finding the Third Proportional to 25,089 and 54,496

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Solution

The third proportional to 25,089 and 54,496 is: 118,371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,089 : 54,496 = 54,496 : x
  2. Step 2: Convert to fraction form
    25,089/54,496 = 54,496/x
  3. Step 3: Cross multiply
    25,089x = 54,496 × 54,496
  4. Step 4: Simplify right side
    25,089x = 2,969,814,016
  5. Step 5: Solve for x
    x = 2,969,814,016/25,089
  6. Step 6: Final answer
    x = 118,371.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.