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Finding the Third Proportional to 15,198 and 23,007

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Solution

The third proportional to 15,198 and 23,007 is: 34,828.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198 : 23,007 = 23,007 : x
  2. Step 2: Convert to fraction form
    15,198/23,007 = 23,007/x
  3. Step 3: Cross multiply
    15,198x = 23,007 × 23,007
  4. Step 4: Simplify right side
    15,198x = 529,322,049
  5. Step 5: Solve for x
    x = 529,322,049/15,198
  6. Step 6: Final answer
    x = 34,828.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.