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Finding the Third Proportional to 4,921 and 10,615

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Solution

The third proportional to 4,921 and 10,615 is: 22,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921 : 10,615 = 10,615 : x
  2. Step 2: Convert to fraction form
    4,921/10,615 = 10,615/x
  3. Step 3: Cross multiply
    4,921x = 10,615 × 10,615
  4. Step 4: Simplify right side
    4,921x = 112,678,225
  5. Step 5: Solve for x
    x = 112,678,225/4,921
  6. Step 6: Final answer
    x = 22,897.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.