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Finding the Third Proportional to 21,451.50 and 42,822

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Solution

The third proportional to 21,451.50 and 42,822 is: 85,482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,451.50 : 42,822 = 42,822 : x
  2. Step 2: Convert to fraction form
    21,451.50/42,822 = 42,822/x
  3. Step 3: Cross multiply
    21,451.50x = 42,822 × 42,822
  4. Step 4: Simplify right side
    21,451.50x = 1,833,723,684
  5. Step 5: Solve for x
    x = 1,833,723,684/21,451.50
  6. Step 6: Final answer
    x = 85,482.31

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.