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Finding the Third Proportional to 8,934.96 and 19,096.95

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Solution

The third proportional to 8,934.96 and 19,096.95 is: 40,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934.96 : 19,096.95 = 19,096.95 : x
  2. Step 2: Convert to fraction form
    8,934.96/19,096.95 = 19,096.95/x
  3. Step 3: Cross multiply
    8,934.96x = 19,096.95 × 19,096.95
  4. Step 4: Simplify right side
    8,934.96x = 364,693,320.27
  5. Step 5: Solve for x
    x = 364,693,320.27/8,934.96
  6. Step 6: Final answer
    x = 40,816.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.