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Finding the Third Proportional to 23,208.75 and 36,199.69

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Solution

The third proportional to 23,208.75 and 36,199.69 is: 56,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,208.75 : 36,199.69 = 36,199.69 : x
  2. Step 2: Convert to fraction form
    23,208.75/36,199.69 = 36,199.69/x
  3. Step 3: Cross multiply
    23,208.75x = 36,199.69 × 36,199.69
  4. Step 4: Simplify right side
    23,208.75x = 1,310,417,375.10
  5. Step 5: Solve for x
    x = 1,310,417,375.10/23,208.75
  6. Step 6: Final answer
    x = 56,462.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.