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Finding the Third Proportional to 32,091.19 and 52,327.69

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Solution

The third proportional to 32,091.19 and 52,327.69 is: 85,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,091.19 : 52,327.69 = 52,327.69 : x
  2. Step 2: Convert to fraction form
    32,091.19/52,327.69 = 52,327.69/x
  3. Step 3: Cross multiply
    32,091.19x = 52,327.69 × 52,327.69
  4. Step 4: Simplify right side
    32,091.19x = 2,738,186,879.10
  5. Step 5: Solve for x
    x = 2,738,186,879.10/32,091.19
  6. Step 6: Final answer
    x = 85,325.20

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.