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Finding the Third Proportional to 24,000.05 and 32,958.77

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Solution

The third proportional to 24,000.05 and 32,958.77 is: 45,261.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000.05 : 32,958.77 = 32,958.77 : x
  2. Step 2: Convert to fraction form
    24,000.05/32,958.77 = 32,958.77/x
  3. Step 3: Cross multiply
    24,000.05x = 32,958.77 × 32,958.77
  4. Step 4: Simplify right side
    24,000.05x = 1,086,280,746.50
  5. Step 5: Solve for x
    x = 1,086,280,746.50/24,000.05
  6. Step 6: Final answer
    x = 45,261.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.