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Finding the Third Proportional to 14,608.50 and 31,996

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Solution

The third proportional to 14,608.50 and 31,996 is: 70,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608.50 : 31,996 = 31,996 : x
  2. Step 2: Convert to fraction form
    14,608.50/31,996 = 31,996/x
  3. Step 3: Cross multiply
    14,608.50x = 31,996 × 31,996
  4. Step 4: Simplify right side
    14,608.50x = 1,023,744,016
  5. Step 5: Solve for x
    x = 1,023,744,016/14,608.50
  6. Step 6: Final answer
    x = 70,078.65

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