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Finding the Third Proportional to 8,684.50 and 19,003

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Solution

The third proportional to 8,684.50 and 19,003 is: 41,581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.50 : 19,003 = 19,003 : x
  2. Step 2: Convert to fraction form
    8,684.50/19,003 = 19,003/x
  3. Step 3: Cross multiply
    8,684.50x = 19,003 × 19,003
  4. Step 4: Simplify right side
    8,684.50x = 361,114,009
  5. Step 5: Solve for x
    x = 361,114,009/8,684.50
  6. Step 6: Final answer
    x = 41,581.44

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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.