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Finding the Third Proportional to 23,464.69 and 36,017.16

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Solution

The third proportional to 23,464.69 and 36,017.16 is: 55,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,464.69 : 36,017.16 = 36,017.16 : x
  2. Step 2: Convert to fraction form
    23,464.69/36,017.16 = 36,017.16/x
  3. Step 3: Cross multiply
    23,464.69x = 36,017.16 × 36,017.16
  4. Step 4: Simplify right side
    23,464.69x = 1,297,235,544.34
  5. Step 5: Solve for x
    x = 1,297,235,544.34/23,464.69
  6. Step 6: Final answer
    x = 55,284.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.