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Finding the Third Proportional to 14,954.63 and 32,781.38

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Solution

The third proportional to 14,954.63 and 32,781.38 is: 71,858.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,954.63 : 32,781.38 = 32,781.38 : x
  2. Step 2: Convert to fraction form
    14,954.63/32,781.38 = 32,781.38/x
  3. Step 3: Cross multiply
    14,954.63x = 32,781.38 × 32,781.38
  4. Step 4: Simplify right side
    14,954.63x = 1,074,618,546.89
  5. Step 5: Solve for x
    x = 1,074,618,546.89/14,954.63
  6. Step 6: Final answer
    x = 71,858.61

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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.