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Finding the Third Proportional to 20,404.41 and 42,653.25

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Solution

The third proportional to 20,404.41 and 42,653.25 is: 89,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,404.41 : 42,653.25 = 42,653.25 : x
  2. Step 2: Convert to fraction form
    20,404.41/42,653.25 = 42,653.25/x
  3. Step 3: Cross multiply
    20,404.41x = 42,653.25 × 42,653.25
  4. Step 4: Simplify right side
    20,404.41x = 1,819,299,735.56
  5. Step 5: Solve for x
    x = 1,819,299,735.56/20,404.41
  6. Step 6: Final answer
    x = 89,162.10

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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.