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Finding the Third Proportional to 8,944 and 19,615

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Solution

The third proportional to 8,944 and 19,615 is: 43,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,944 : 19,615 = 19,615 : x
  2. Step 2: Convert to fraction form
    8,944/19,615 = 19,615/x
  3. Step 3: Cross multiply
    8,944x = 19,615 × 19,615
  4. Step 4: Simplify right side
    8,944x = 384,748,225
  5. Step 5: Solve for x
    x = 384,748,225/8,944
  6. Step 6: Final answer
    x = 43,017.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.