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Finding the Third Proportional to 23,500.69 and 36,406.41

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Solution

The third proportional to 23,500.69 and 36,406.41 is: 56,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,500.69 : 36,406.41 = 36,406.41 : x
  2. Step 2: Convert to fraction form
    23,500.69/36,406.41 = 36,406.41/x
  3. Step 3: Cross multiply
    23,500.69x = 36,406.41 × 36,406.41
  4. Step 4: Simplify right side
    23,500.69x = 1,325,426,416.04
  5. Step 5: Solve for x
    x = 1,325,426,416.04/23,500.69
  6. Step 6: Final answer
    x = 56,399.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.