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Finding the Third Proportional to 8,763 and 19,225.50

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Solution

The third proportional to 8,763 and 19,225.50 is: 42,179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,763 : 19,225.50 = 19,225.50 : x
  2. Step 2: Convert to fraction form
    8,763/19,225.50 = 19,225.50/x
  3. Step 3: Cross multiply
    8,763x = 19,225.50 × 19,225.50
  4. Step 4: Simplify right side
    8,763x = 369,619,850.25
  5. Step 5: Solve for x
    x = 369,619,850.25/8,763
  6. Step 6: Final answer
    x = 42,179.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.