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Finding the Third Proportional to 24,666.75 and 33,455.25

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Solution

The third proportional to 24,666.75 and 33,455.25 is: 45,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,666.75 : 33,455.25 = 33,455.25 : x
  2. Step 2: Convert to fraction form
    24,666.75/33,455.25 = 33,455.25/x
  3. Step 3: Cross multiply
    24,666.75x = 33,455.25 × 33,455.25
  4. Step 4: Simplify right side
    24,666.75x = 1,119,253,752.56
  5. Step 5: Solve for x
    x = 1,119,253,752.56/24,666.75
  6. Step 6: Final answer
    x = 45,375.00

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.