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Finding the Third Proportional to 11,599 and 25,045

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Solution

The third proportional to 11,599 and 25,045 is: 54,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599 : 25,045 = 25,045 : x
  2. Step 2: Convert to fraction form
    11,599/25,045 = 25,045/x
  3. Step 3: Cross multiply
    11,599x = 25,045 × 25,045
  4. Step 4: Simplify right side
    11,599x = 627,252,025
  5. Step 5: Solve for x
    x = 627,252,025/11,599
  6. Step 6: Final answer
    x = 54,078.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.