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Finding the Third Proportional to 13,086 and 25,497

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Solution

The third proportional to 13,086 and 25,497 is: 49,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086 : 25,497 = 25,497 : x
  2. Step 2: Convert to fraction form
    13,086/25,497 = 25,497/x
  3. Step 3: Cross multiply
    13,086x = 25,497 × 25,497
  4. Step 4: Simplify right side
    13,086x = 650,097,009
  5. Step 5: Solve for x
    x = 650,097,009/13,086
  6. Step 6: Final answer
    x = 49,678.82

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.