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Finding the Third Proportional to 32,379.75 and 45,532.13

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Solution

The third proportional to 32,379.75 and 45,532.13 is: 64,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,379.75 : 45,532.13 = 45,532.13 : x
  2. Step 2: Convert to fraction form
    32,379.75/45,532.13 = 45,532.13/x
  3. Step 3: Cross multiply
    32,379.75x = 45,532.13 × 45,532.13
  4. Step 4: Simplify right side
    32,379.75x = 2,073,174,407.02
  5. Step 5: Solve for x
    x = 2,073,174,407.02/32,379.75
  6. Step 6: Final answer
    x = 64,026.88

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.