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Finding the Third Proportional to 8,900.50 and 19,178

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Solution

The third proportional to 8,900.50 and 19,178 is: 41,323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,900.50 : 19,178 = 19,178 : x
  2. Step 2: Convert to fraction form
    8,900.50/19,178 = 19,178/x
  3. Step 3: Cross multiply
    8,900.50x = 19,178 × 19,178
  4. Step 4: Simplify right side
    8,900.50x = 367,795,684
  5. Step 5: Solve for x
    x = 367,795,684/8,900.50
  6. Step 6: Final answer
    x = 41,323.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.