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Finding the Third Proportional to 14,616 and 31,793

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Solution

The third proportional to 14,616 and 31,793 is: 69,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616 : 31,793 = 31,793 : x
  2. Step 2: Convert to fraction form
    14,616/31,793 = 31,793/x
  3. Step 3: Cross multiply
    14,616x = 31,793 × 31,793
  4. Step 4: Simplify right side
    14,616x = 1,010,794,849
  5. Step 5: Solve for x
    x = 1,010,794,849/14,616
  6. Step 6: Final answer
    x = 69,156.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.