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Finding the Third Proportional to 11,707 and 25,055

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Solution

The third proportional to 11,707 and 25,055 is: 53,622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707 : 25,055 = 25,055 : x
  2. Step 2: Convert to fraction form
    11,707/25,055 = 25,055/x
  3. Step 3: Cross multiply
    11,707x = 25,055 × 25,055
  4. Step 4: Simplify right side
    11,707x = 627,753,025
  5. Step 5: Solve for x
    x = 627,753,025/11,707
  6. Step 6: Final answer
    x = 53,622.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.