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Finding the Third Proportional to 11,597 and 25,318

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Solution

The third proportional to 11,597 and 25,318 is: 55,273.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597 : 25,318 = 25,318 : x
  2. Step 2: Convert to fraction form
    11,597/25,318 = 25,318/x
  3. Step 3: Cross multiply
    11,597x = 25,318 × 25,318
  4. Step 4: Simplify right side
    11,597x = 641,001,124
  5. Step 5: Solve for x
    x = 641,001,124/11,597
  6. Step 6: Final answer
    x = 55,273.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.