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Finding the Third Proportional to 14,644.13 and 32,091.75

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Solution

The third proportional to 14,644.13 and 32,091.75 is: 70,327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.13 : 32,091.75 = 32,091.75 : x
  2. Step 2: Convert to fraction form
    14,644.13/32,091.75 = 32,091.75/x
  3. Step 3: Cross multiply
    14,644.13x = 32,091.75 × 32,091.75
  4. Step 4: Simplify right side
    14,644.13x = 1,029,880,418.06
  5. Step 5: Solve for x
    x = 1,029,880,418.06/14,644.13
  6. Step 6: Final answer
    x = 70,327.21

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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.