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Finding the Third Proportional to 19,597 and 41,615

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Solution

The third proportional to 19,597 and 41,615 is: 88,371.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597 : 41,615 = 41,615 : x
  2. Step 2: Convert to fraction form
    19,597/41,615 = 41,615/x
  3. Step 3: Cross multiply
    19,597x = 41,615 × 41,615
  4. Step 4: Simplify right side
    19,597x = 1,731,808,225
  5. Step 5: Solve for x
    x = 1,731,808,225/19,597
  6. Step 6: Final answer
    x = 88,371.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.