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Finding the Third Proportional to 11,615 and 25,258

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Solution

The third proportional to 11,615 and 25,258 is: 54,926.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615 : 25,258 = 25,258 : x
  2. Step 2: Convert to fraction form
    11,615/25,258 = 25,258/x
  3. Step 3: Cross multiply
    11,615x = 25,258 × 25,258
  4. Step 4: Simplify right side
    11,615x = 637,966,564
  5. Step 5: Solve for x
    x = 637,966,564/11,615
  6. Step 6: Final answer
    x = 54,926.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.