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Finding the Third Proportional to 20,421 and 49,488.75

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Solution

The third proportional to 20,421 and 49,488.75 is: 119,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,421 : 49,488.75 = 49,488.75 : x
  2. Step 2: Convert to fraction form
    20,421/49,488.75 = 49,488.75/x
  3. Step 3: Cross multiply
    20,421x = 49,488.75 × 49,488.75
  4. Step 4: Simplify right side
    20,421x = 2,449,136,376.56
  5. Step 5: Solve for x
    x = 2,449,136,376.56/20,421
  6. Step 6: Final answer
    x = 119,932.25

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.