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Finding the Third Proportional to 10,212.12 and 21,359.53

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Solution

The third proportional to 10,212.12 and 21,359.53 is: 44,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.12 : 21,359.53 = 21,359.53 : x
  2. Step 2: Convert to fraction form
    10,212.12/21,359.53 = 21,359.53/x
  3. Step 3: Cross multiply
    10,212.12x = 21,359.53 × 21,359.53
  4. Step 4: Simplify right side
    10,212.12x = 456,229,575.22
  5. Step 5: Solve for x
    x = 456,229,575.22/10,212.12
  6. Step 6: Final answer
    x = 44,675.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.