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Finding the Third Proportional to 14,615 and 31,963

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Solution

The third proportional to 14,615 and 31,963 is: 69,903.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,615 : 31,963 = 31,963 : x
  2. Step 2: Convert to fraction form
    14,615/31,963 = 31,963/x
  3. Step 3: Cross multiply
    14,615x = 31,963 × 31,963
  4. Step 4: Simplify right side
    14,615x = 1,021,633,369
  5. Step 5: Solve for x
    x = 1,021,633,369/14,615
  6. Step 6: Final answer
    x = 69,903.07

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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.