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Finding the Third Proportional to 21,039.75 and 42,666.75

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Solution

The third proportional to 21,039.75 and 42,666.75 is: 86,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,039.75 : 42,666.75 = 42,666.75 : x
  2. Step 2: Convert to fraction form
    21,039.75/42,666.75 = 42,666.75/x
  3. Step 3: Cross multiply
    21,039.75x = 42,666.75 × 42,666.75
  4. Step 4: Simplify right side
    21,039.75x = 1,820,451,555.56
  5. Step 5: Solve for x
    x = 1,820,451,555.56/21,039.75
  6. Step 6: Final answer
    x = 86,524.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.