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Finding the Third Proportional to 14,903.21 and 32,091.66

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Solution

The third proportional to 14,903.21 and 32,091.66 is: 69,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,903.21 : 32,091.66 = 32,091.66 : x
  2. Step 2: Convert to fraction form
    14,903.21/32,091.66 = 32,091.66/x
  3. Step 3: Cross multiply
    14,903.21x = 32,091.66 × 32,091.66
  4. Step 4: Simplify right side
    14,903.21x = 1,029,874,776.94
  5. Step 5: Solve for x
    x = 1,029,874,776.94/14,903.21
  6. Step 6: Final answer
    x = 69,104.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.