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Finding the Third Proportional to 19,000.50 and 41,281

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Solution

The third proportional to 19,000.50 and 41,281 is: 89,688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,000.50 : 41,281 = 41,281 : x
  2. Step 2: Convert to fraction form
    19,000.50/41,281 = 41,281/x
  3. Step 3: Cross multiply
    19,000.50x = 41,281 × 41,281
  4. Step 4: Simplify right side
    19,000.50x = 1,704,120,961
  5. Step 5: Solve for x
    x = 1,704,120,961/19,000.50
  6. Step 6: Final answer
    x = 89,688.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.