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Finding the Third Proportional to 19,096.50 and 41,865

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Solution

The third proportional to 19,096.50 and 41,865 is: 91,780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,096.50 : 41,865 = 41,865 : x
  2. Step 2: Convert to fraction form
    19,096.50/41,865 = 41,865/x
  3. Step 3: Cross multiply
    19,096.50x = 41,865 × 41,865
  4. Step 4: Simplify right side
    19,096.50x = 1,752,678,225
  5. Step 5: Solve for x
    x = 1,752,678,225/19,096.50
  6. Step 6: Final answer
    x = 91,780.08

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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.