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Finding the Third Proportional to 23,421 and 51,615

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Solution

The third proportional to 23,421 and 51,615 is: 113,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,421 : 51,615 = 51,615 : x
  2. Step 2: Convert to fraction form
    23,421/51,615 = 51,615/x
  3. Step 3: Cross multiply
    23,421x = 51,615 × 51,615
  4. Step 4: Simplify right side
    23,421x = 2,664,108,225
  5. Step 5: Solve for x
    x = 2,664,108,225/23,421
  6. Step 6: Final answer
    x = 113,748.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.