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Finding the Third Proportional to 8,764.45 and 19,281.80

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Solution

The third proportional to 8,764.45 and 19,281.80 is: 42,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.45 : 19,281.80 = 19,281.80 : x
  2. Step 2: Convert to fraction form
    8,764.45/19,281.80 = 19,281.80/x
  3. Step 3: Cross multiply
    8,764.45x = 19,281.80 × 19,281.80
  4. Step 4: Simplify right side
    8,764.45x = 371,787,690.73
  5. Step 5: Solve for x
    x = 371,787,690.73/8,764.45
  6. Step 6: Final answer
    x = 42,419.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.