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Finding the Third Proportional to 14,766 and 31,993.50

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Solution

The third proportional to 14,766 and 31,993.50 is: 69,320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,766 : 31,993.50 = 31,993.50 : x
  2. Step 2: Convert to fraction form
    14,766/31,993.50 = 31,993.50/x
  3. Step 3: Cross multiply
    14,766x = 31,993.50 × 31,993.50
  4. Step 4: Simplify right side
    14,766x = 1,023,584,042.25
  5. Step 5: Solve for x
    x = 1,023,584,042.25/14,766
  6. Step 6: Final answer
    x = 69,320.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.